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Finding the Fourth Proportional to 10,978.12, 16,455.66 and 5,129.92

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Solution

The fourth proportional to 10,978.12, 16,455.66 and 5,129.92 is: 7,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.12 : 16,455.66 = 5,129.92 : x
  2. Step 2: Convert to fraction form
    10,978.12/16,455.66 = 5,129.92/x
  3. Step 3: Cross multiply
    10,978.12x = 16,455.66 × 5,129.92
  4. Step 4: Simplify right side
    10,978.12x = 84,416,219.35
  5. Step 5: Solve for x
    x = 84,416,219.35/10,978.12
  6. Step 6: Final answer
    x = 7,689.50

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1.5x scale

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.