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Finding the Fourth Proportional to 7,154.48, 9,877.56 and 5,668.40

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Solution

The fourth proportional to 7,154.48, 9,877.56 and 5,668.40 is: 7,825.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.48 : 9,877.56 = 5,668.40 : x
  2. Step 2: Convert to fraction form
    7,154.48/9,877.56 = 5,668.40/x
  3. Step 3: Cross multiply
    7,154.48x = 9,877.56 × 5,668.40
  4. Step 4: Simplify right side
    7,154.48x = 55,989,961.10
  5. Step 5: Solve for x
    x = 55,989,961.10/7,154.48
  6. Step 6: Final answer
    x = 7,825.86

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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.