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Finding the Fourth Proportional to 11,562.80, 15,965.40 and 7,582.40

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Solution

The fourth proportional to 11,562.80, 15,965.40 and 7,582.40 is: 10,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.80 : 15,965.40 = 7,582.40 : x
  2. Step 2: Convert to fraction form
    11,562.80/15,965.40 = 7,582.40/x
  3. Step 3: Cross multiply
    11,562.80x = 15,965.40 × 7,582.40
  4. Step 4: Simplify right side
    11,562.80x = 121,056,048.96
  5. Step 5: Solve for x
    x = 121,056,048.96/11,562.80
  6. Step 6: Final answer
    x = 10,469.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.