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Finding the Fourth Proportional to 1,489.52, 2,056.80 and 1,048.40

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Solution

The fourth proportional to 1,489.52, 2,056.80 and 1,048.40 is: 1,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.52 : 2,056.80 = 1,048.40 : x
  2. Step 2: Convert to fraction form
    1,489.52/2,056.80 = 1,048.40/x
  3. Step 3: Cross multiply
    1,489.52x = 2,056.80 × 1,048.40
  4. Step 4: Simplify right side
    1,489.52x = 2,156,349.12
  5. Step 5: Solve for x
    x = 2,156,349.12/1,489.52
  6. Step 6: Final answer
    x = 1,447.68

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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.