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Finding the Fourth Proportional to 6,854.40, 10,266.48 and 5,549.76

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Solution

The fourth proportional to 6,854.40, 10,266.48 and 5,549.76 is: 8,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.40 : 10,266.48 = 5,549.76 : x
  2. Step 2: Convert to fraction form
    6,854.40/10,266.48 = 5,549.76/x
  3. Step 3: Cross multiply
    6,854.40x = 10,266.48 × 5,549.76
  4. Step 4: Simplify right side
    6,854.40x = 56,976,500.04
  5. Step 5: Solve for x
    x = 56,976,500.04/6,854.40
  6. Step 6: Final answer
    x = 8,312.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.