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Finding the Fourth Proportional to 15,312.67, 22,969 and 4,219.47

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Solution

The fourth proportional to 15,312.67, 22,969 and 4,219.47 is: 6,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312.67 : 22,969 = 4,219.47 : x
  2. Step 2: Convert to fraction form
    15,312.67/22,969 = 4,219.47/x
  3. Step 3: Cross multiply
    15,312.67x = 22,969 × 4,219.47
  4. Step 4: Simplify right side
    15,312.67x = 96,916,891.59
  5. Step 5: Solve for x
    x = 96,916,891.59/15,312.67
  6. Step 6: Final answer
    x = 6,329.20

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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.