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Finding the Fourth Proportional to 7,443.60, 11,165.40 and 6,957.60

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Solution

The fourth proportional to 7,443.60, 11,165.40 and 6,957.60 is: 10,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.60 : 11,165.40 = 6,957.60 : x
  2. Step 2: Convert to fraction form
    7,443.60/11,165.40 = 6,957.60/x
  3. Step 3: Cross multiply
    7,443.60x = 11,165.40 × 6,957.60
  4. Step 4: Simplify right side
    7,443.60x = 77,684,387.04
  5. Step 5: Solve for x
    x = 77,684,387.04/7,443.60
  6. Step 6: Final answer
    x = 10,436.40

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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.