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Finding the Fourth Proportional to 7,547.40, 11,378.96 and 7,039.20

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Solution

The fourth proportional to 7,547.40, 11,378.96 and 7,039.20 is: 10,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.40 : 11,378.96 = 7,039.20 : x
  2. Step 2: Convert to fraction form
    7,547.40/11,378.96 = 7,039.20/x
  3. Step 3: Cross multiply
    7,547.40x = 11,378.96 × 7,039.20
  4. Step 4: Simplify right side
    7,547.40x = 80,098,775.23
  5. Step 5: Solve for x
    x = 80,098,775.23/7,547.40
  6. Step 6: Final answer
    x = 10,612.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.