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Finding the Fourth Proportional to 3,487.79, 5,232.44 and 1,148.00

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Solution

The fourth proportional to 3,487.79, 5,232.44 and 1,148.00 is: 1,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.79 : 5,232.44 = 1,148.00 : x
  2. Step 2: Convert to fraction form
    3,487.79/5,232.44 = 1,148.00/x
  3. Step 3: Cross multiply
    3,487.79x = 5,232.44 × 1,148.00
  4. Step 4: Simplify right side
    3,487.79x = 6,006,817.83
  5. Step 5: Solve for x
    x = 6,006,817.83/3,487.79
  6. Step 6: Final answer
    x = 1,722.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.