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Finding the Fourth Proportional to 7,132.57, 10,688.62 and 4,005.99

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Solution

The fourth proportional to 7,132.57, 10,688.62 and 4,005.99 is: 6,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.57 : 10,688.62 = 4,005.99 : x
  2. Step 2: Convert to fraction form
    7,132.57/10,688.62 = 4,005.99/x
  3. Step 3: Cross multiply
    7,132.57x = 10,688.62 × 4,005.99
  4. Step 4: Simplify right side
    7,132.57x = 42,818,510.78
  5. Step 5: Solve for x
    x = 42,818,510.78/7,132.57
  6. Step 6: Final answer
    x = 6,003.24

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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.