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Finding the Fourth Proportional to 7,750.48, 10,677.84 and 5,358.16

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Solution

The fourth proportional to 7,750.48, 10,677.84 and 5,358.16 is: 7,381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.48 : 10,677.84 = 5,358.16 : x
  2. Step 2: Convert to fraction form
    7,750.48/10,677.84 = 5,358.16/x
  3. Step 3: Cross multiply
    7,750.48x = 10,677.84 × 5,358.16
  4. Step 4: Simplify right side
    7,750.48x = 57,213,575.17
  5. Step 5: Solve for x
    x = 57,213,575.17/7,750.48
  6. Step 6: Final answer
    x = 7,381.94

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