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Finding the Fourth Proportional to 10,200.78, 15,354.95 and 8,697.42

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Solution

The fourth proportional to 10,200.78, 15,354.95 and 8,697.42 is: 13,091.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.78 : 15,354.95 = 8,697.42 : x
  2. Step 2: Convert to fraction form
    10,200.78/15,354.95 = 8,697.42/x
  3. Step 3: Cross multiply
    10,200.78x = 15,354.95 × 8,697.42
  4. Step 4: Simplify right side
    10,200.78x = 133,548,405.74
  5. Step 5: Solve for x
    x = 133,548,405.74/10,200.78
  6. Step 6: Final answer
    x = 13,091.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.