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Finding the Fourth Proportional to 6,711, 9,261.18 and 3,916.50

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Solution

The fourth proportional to 6,711, 9,261.18 and 3,916.50 is: 5,404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711 : 9,261.18 = 3,916.50 : x
  2. Step 2: Convert to fraction form
    6,711/9,261.18 = 3,916.50/x
  3. Step 3: Cross multiply
    6,711x = 9,261.18 × 3,916.50
  4. Step 4: Simplify right side
    6,711x = 36,271,411.47
  5. Step 5: Solve for x
    x = 36,271,411.47/6,711
  6. Step 6: Final answer
    x = 5,404.77

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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.