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Finding the Fourth Proportional to 11,902, 16,417.92 and 7,423.60

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Solution

The fourth proportional to 11,902, 16,417.92 and 7,423.60 is: 10,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902 : 16,417.92 = 7,423.60 : x
  2. Step 2: Convert to fraction form
    11,902/16,417.92 = 7,423.60/x
  3. Step 3: Cross multiply
    11,902x = 16,417.92 × 7,423.60
  4. Step 4: Simplify right side
    11,902x = 121,880,070.91
  5. Step 5: Solve for x
    x = 121,880,070.91/11,902
  6. Step 6: Final answer
    x = 10,240.30

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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.