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Finding the Fourth Proportional to 15,281.92, 22,916.40 and 5,423.68

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Solution

The fourth proportional to 15,281.92, 22,916.40 and 5,423.68 is: 8,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,281.92 : 22,916.40 = 5,423.68 : x
  2. Step 2: Convert to fraction form
    15,281.92/22,916.40 = 5,423.68/x
  3. Step 3: Cross multiply
    15,281.92x = 22,916.40 × 5,423.68
  4. Step 4: Simplify right side
    15,281.92x = 124,291,220.35
  5. Step 5: Solve for x
    x = 124,291,220.35/15,281.92
  6. Step 6: Final answer
    x = 8,133.22

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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.