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Finding the Fourth Proportional to 3,487, 5,230.50 and 1,407.92

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Solution

The fourth proportional to 3,487, 5,230.50 and 1,407.92 is: 2,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487 : 5,230.50 = 1,407.92 : x
  2. Step 2: Convert to fraction form
    3,487/5,230.50 = 1,407.92/x
  3. Step 3: Cross multiply
    3,487x = 5,230.50 × 1,407.92
  4. Step 4: Simplify right side
    3,487x = 7,364,125.56
  5. Step 5: Solve for x
    x = 7,364,125.56/3,487
  6. Step 6: Final answer
    x = 2,111.88

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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.