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Finding the Fourth Proportional to 10,840.40, 14,901.82 and 9,771.20

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Solution

The fourth proportional to 10,840.40, 14,901.82 and 9,771.20 is: 13,432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.40 : 14,901.82 = 9,771.20 : x
  2. Step 2: Convert to fraction form
    10,840.40/14,901.82 = 9,771.20/x
  3. Step 3: Cross multiply
    10,840.40x = 14,901.82 × 9,771.20
  4. Step 4: Simplify right side
    10,840.40x = 145,608,663.58
  5. Step 5: Solve for x
    x = 145,608,663.58/10,840.40
  6. Step 6: Final answer
    x = 13,432.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.