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Finding the Fourth Proportional to 6,712, 9,262.56 and 3,916.96

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Solution

The fourth proportional to 6,712, 9,262.56 and 3,916.96 is: 5,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712 : 9,262.56 = 3,916.96 : x
  2. Step 2: Convert to fraction form
    6,712/9,262.56 = 3,916.96/x
  3. Step 3: Cross multiply
    6,712x = 9,262.56 × 3,916.96
  4. Step 4: Simplify right side
    6,712x = 36,281,077.02
  5. Step 5: Solve for x
    x = 36,281,077.02/6,712
  6. Step 6: Final answer
    x = 5,405.40

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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.