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Finding the Fourth Proportional to 2,487, 3,432.06 and 1,439.13

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Solution

The fourth proportional to 2,487, 3,432.06 and 1,439.13 is: 1,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487 : 3,432.06 = 1,439.13 : x
  2. Step 2: Convert to fraction form
    2,487/3,432.06 = 1,439.13/x
  3. Step 3: Cross multiply
    2,487x = 3,432.06 × 1,439.13
  4. Step 4: Simplify right side
    2,487x = 4,939,180.51
  5. Step 5: Solve for x
    x = 4,939,180.51/2,487
  6. Step 6: Final answer
    x = 1,986.00

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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.