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Finding the Fourth Proportional to 10,938.40, 16,494.52 and 9,728.80

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Solution

The fourth proportional to 10,938.40, 16,494.52 and 9,728.80 is: 14,670.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.40 : 16,494.52 = 9,728.80 : x
  2. Step 2: Convert to fraction form
    10,938.40/16,494.52 = 9,728.80/x
  3. Step 3: Cross multiply
    10,938.40x = 16,494.52 × 9,728.80
  4. Step 4: Simplify right side
    10,938.40x = 160,471,886.18
  5. Step 5: Solve for x
    x = 160,471,886.18/10,938.40
  6. Step 6: Final answer
    x = 14,670.51

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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.