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Finding the Fourth Proportional to 7,721.60, 11,582.40 and 7,419.20

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Solution

The fourth proportional to 7,721.60, 11,582.40 and 7,419.20 is: 11,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,721.60 : 11,582.40 = 7,419.20 : x
  2. Step 2: Convert to fraction form
    7,721.60/11,582.40 = 7,419.20/x
  3. Step 3: Cross multiply
    7,721.60x = 11,582.40 × 7,419.20
  4. Step 4: Simplify right side
    7,721.60x = 85,932,142.08
  5. Step 5: Solve for x
    x = 85,932,142.08/7,721.60
  6. Step 6: Final answer
    x = 11,128.80

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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.