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Finding the Fourth Proportional to 15,031.58, 20,734.52 and 9,927.14

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Solution

The fourth proportional to 15,031.58, 20,734.52 and 9,927.14 is: 13,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,031.58 : 20,734.52 = 9,927.14 : x
  2. Step 2: Convert to fraction form
    15,031.58/20,734.52 = 9,927.14/x
  3. Step 3: Cross multiply
    15,031.58x = 20,734.52 × 9,927.14
  4. Step 4: Simplify right side
    15,031.58x = 205,834,329.56
  5. Step 5: Solve for x
    x = 205,834,329.56/15,031.58
  6. Step 6: Final answer
    x = 13,693.46

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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.