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Finding the Fourth Proportional to 11,312.68, 16,972.16 and 4,737.30

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Solution

The fourth proportional to 11,312.68, 16,972.16 and 4,737.30 is: 7,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.68 : 16,972.16 = 4,737.30 : x
  2. Step 2: Convert to fraction form
    11,312.68/16,972.16 = 4,737.30/x
  3. Step 3: Cross multiply
    11,312.68x = 16,972.16 × 4,737.30
  4. Step 4: Simplify right side
    11,312.68x = 80,402,213.57
  5. Step 5: Solve for x
    x = 80,402,213.57/11,312.68
  6. Step 6: Final answer
    x = 7,107.26

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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.