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Finding the Fourth Proportional to 10,904.30, 16,339.65 and 8,117.90

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Solution

The fourth proportional to 10,904.30, 16,339.65 and 8,117.90 is: 12,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.30 : 16,339.65 = 8,117.90 : x
  2. Step 2: Convert to fraction form
    10,904.30/16,339.65 = 8,117.90/x
  3. Step 3: Cross multiply
    10,904.30x = 16,339.65 × 8,117.90
  4. Step 4: Simplify right side
    10,904.30x = 132,643,644.74
  5. Step 5: Solve for x
    x = 132,643,644.74/10,904.30
  6. Step 6: Final answer
    x = 12,164.34

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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.