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Finding the Fourth Proportional to 5,654.40, 7,808 and 4,709.76

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Solution

The fourth proportional to 5,654.40, 7,808 and 4,709.76 is: 6,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.40 : 7,808 = 4,709.76 : x
  2. Step 2: Convert to fraction form
    5,654.40/7,808 = 4,709.76/x
  3. Step 3: Cross multiply
    5,654.40x = 7,808 × 4,709.76
  4. Step 4: Simplify right side
    5,654.40x = 36,773,806.08
  5. Step 5: Solve for x
    x = 36,773,806.08/5,654.40
  6. Step 6: Final answer
    x = 6,503.57

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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.