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Finding the Fourth Proportional to 15,666, 23,498.76 and 6,308.40

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Solution

The fourth proportional to 15,666, 23,498.76 and 6,308.40 is: 9,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666 : 23,498.76 = 6,308.40 : x
  2. Step 2: Convert to fraction form
    15,666/23,498.76 = 6,308.40/x
  3. Step 3: Cross multiply
    15,666x = 23,498.76 × 6,308.40
  4. Step 4: Simplify right side
    15,666x = 148,239,577.58
  5. Step 5: Solve for x
    x = 148,239,577.58/15,666
  6. Step 6: Final answer
    x = 9,462.50

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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.