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Finding the Fourth Proportional to 9,147.81, 12,617.62 and 7,256.74

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Solution

The fourth proportional to 9,147.81, 12,617.62 and 7,256.74 is: 10,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.81 : 12,617.62 = 7,256.74 : x
  2. Step 2: Convert to fraction form
    9,147.81/12,617.62 = 7,256.74/x
  3. Step 3: Cross multiply
    9,147.81x = 12,617.62 × 7,256.74
  4. Step 4: Simplify right side
    9,147.81x = 91,562,802.55
  5. Step 5: Solve for x
    x = 91,562,802.55/9,147.81
  6. Step 6: Final answer
    x = 10,009.26

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Similar ratio
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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.