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Finding the Fourth Proportional to 10,604.58, 15,876.63 and 8,416.50

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Solution

The fourth proportional to 10,604.58, 15,876.63 and 8,416.50 is: 12,600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.58 : 15,876.63 = 8,416.50 : x
  2. Step 2: Convert to fraction form
    10,604.58/15,876.63 = 8,416.50/x
  3. Step 3: Cross multiply
    10,604.58x = 15,876.63 × 8,416.50
  4. Step 4: Simplify right side
    10,604.58x = 133,625,656.40
  5. Step 5: Solve for x
    x = 133,625,656.40/10,604.58
  6. Step 6: Final answer
    x = 12,600.75

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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.