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Finding the Fourth Proportional to 10,844.40, 16,285.80 and 8,385.20

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Solution

The fourth proportional to 10,844.40, 16,285.80 and 8,385.20 is: 12,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844.40 : 16,285.80 = 8,385.20 : x
  2. Step 2: Convert to fraction form
    10,844.40/16,285.80 = 8,385.20/x
  3. Step 3: Cross multiply
    10,844.40x = 16,285.80 × 8,385.20
  4. Step 4: Simplify right side
    10,844.40x = 136,559,690.16
  5. Step 5: Solve for x
    x = 136,559,690.16/10,844.40
  6. Step 6: Final answer
    x = 12,592.65

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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.