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Finding the Fourth Proportional to 5,605.76, 7,732.32 and 5,415.68

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Solution

The fourth proportional to 5,605.76, 7,732.32 and 5,415.68 is: 7,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.76 : 7,732.32 = 5,415.68 : x
  2. Step 2: Convert to fraction form
    5,605.76/7,732.32 = 5,415.68/x
  3. Step 3: Cross multiply
    5,605.76x = 7,732.32 × 5,415.68
  4. Step 4: Simplify right side
    5,605.76x = 41,875,770.78
  5. Step 5: Solve for x
    x = 41,875,770.78/5,605.76
  6. Step 6: Final answer
    x = 7,470.13

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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.