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Finding the Fourth Proportional to 7,031.52, 10,547.20 and 2,101.20

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Solution

The fourth proportional to 7,031.52, 10,547.20 and 2,101.20 is: 3,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.52 : 10,547.20 = 2,101.20 : x
  2. Step 2: Convert to fraction form
    7,031.52/10,547.20 = 2,101.20/x
  3. Step 3: Cross multiply
    7,031.52x = 10,547.20 × 2,101.20
  4. Step 4: Simplify right side
    7,031.52x = 22,161,776.64
  5. Step 5: Solve for x
    x = 22,161,776.64/7,031.52
  6. Step 6: Final answer
    x = 3,151.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.