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Finding the Fourth Proportional to 10,530.78, 15,790.14 and 8,454.62

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Solution

The fourth proportional to 10,530.78, 15,790.14 and 8,454.62 is: 12,677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.78 : 15,790.14 = 8,454.62 : x
  2. Step 2: Convert to fraction form
    10,530.78/15,790.14 = 8,454.62/x
  3. Step 3: Cross multiply
    10,530.78x = 15,790.14 × 8,454.62
  4. Step 4: Simplify right side
    10,530.78x = 133,499,554.50
  5. Step 5: Solve for x
    x = 133,499,554.50/10,530.78
  6. Step 6: Final answer
    x = 12,677.08

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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.