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Finding the Fourth Proportional to 21,151.53, 31,730.13 and 6,358.50

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Solution

The fourth proportional to 21,151.53, 31,730.13 and 6,358.50 is: 9,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,151.53 : 31,730.13 = 6,358.50 : x
  2. Step 2: Convert to fraction form
    21,151.53/31,730.13 = 6,358.50/x
  3. Step 3: Cross multiply
    21,151.53x = 31,730.13 × 6,358.50
  4. Step 4: Simplify right side
    21,151.53x = 201,756,031.61
  5. Step 5: Solve for x
    x = 201,756,031.61/21,151.53
  6. Step 6: Final answer
    x = 9,538.60

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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.