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Finding the Fourth Proportional to 10,553.60, 15,868.80 and 10,323.20

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Solution

The fourth proportional to 10,553.60, 15,868.80 and 10,323.20 is: 15,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.60 : 15,868.80 = 10,323.20 : x
  2. Step 2: Convert to fraction form
    10,553.60/15,868.80 = 10,323.20/x
  3. Step 3: Cross multiply
    10,553.60x = 15,868.80 × 10,323.20
  4. Step 4: Simplify right side
    10,553.60x = 163,816,796.16
  5. Step 5: Solve for x
    x = 163,816,796.16/10,553.60
  6. Step 6: Final answer
    x = 15,522.36

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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.