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Finding the Fourth Proportional to 7,321.60, 9,891.45 and 7,321.60

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Solution

The fourth proportional to 7,321.60, 9,891.45 and 7,321.60 is: 9,891.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.60 : 9,891.45 = 7,321.60 : x
  2. Step 2: Convert to fraction form
    7,321.60/9,891.45 = 7,321.60/x
  3. Step 3: Cross multiply
    7,321.60x = 9,891.45 × 7,321.60
  4. Step 4: Simplify right side
    7,321.60x = 72,421,240.32
  5. Step 5: Solve for x
    x = 72,421,240.32/7,321.60
  6. Step 6: Final answer
    x = 9,891.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.