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Finding the Fourth Proportional to 15,406, 21,260.19 and 8,332.40

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Solution

The fourth proportional to 15,406, 21,260.19 and 8,332.40 is: 11,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406 : 21,260.19 = 8,332.40 : x
  2. Step 2: Convert to fraction form
    15,406/21,260.19 = 8,332.40/x
  3. Step 3: Cross multiply
    15,406x = 21,260.19 × 8,332.40
  4. Step 4: Simplify right side
    15,406x = 177,148,407.16
  5. Step 5: Solve for x
    x = 177,148,407.16/15,406
  6. Step 6: Final answer
    x = 11,498.66

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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.