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Finding the Fourth Proportional to 9,142.95, 12,595.66 and 7,539.15

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Solution

The fourth proportional to 9,142.95, 12,595.66 and 7,539.15 is: 10,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.95 : 12,595.66 = 7,539.15 : x
  2. Step 2: Convert to fraction form
    9,142.95/12,595.66 = 7,539.15/x
  3. Step 3: Cross multiply
    9,142.95x = 12,595.66 × 7,539.15
  4. Step 4: Simplify right side
    9,142.95x = 94,960,532.39
  5. Step 5: Solve for x
    x = 94,960,532.39/9,142.95
  6. Step 6: Final answer
    x = 10,386.20

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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.