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Finding the Fourth Proportional to 9,378.81, 12,927.87 and 7,386.21

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Solution

The fourth proportional to 9,378.81, 12,927.87 and 7,386.21 is: 10,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.81 : 12,927.87 = 7,386.21 : x
  2. Step 2: Convert to fraction form
    9,378.81/12,927.87 = 7,386.21/x
  3. Step 3: Cross multiply
    9,378.81x = 12,927.87 × 7,386.21
  4. Step 4: Simplify right side
    9,378.81x = 95,487,962.67
  5. Step 5: Solve for x
    x = 95,487,962.67/9,378.81
  6. Step 6: Final answer
    x = 10,181.25

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Double scale
Find fourth proportional to 9,379.81, 12,929.25 and 7,387.21
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.