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Finding the Fourth Proportional to 1,539.04, 2,123.20 and 978.52

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Solution

The fourth proportional to 1,539.04, 2,123.20 and 978.52 is: 1,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.04 : 2,123.20 = 978.52 : x
  2. Step 2: Convert to fraction form
    1,539.04/2,123.20 = 978.52/x
  3. Step 3: Cross multiply
    1,539.04x = 2,123.20 × 978.52
  4. Step 4: Simplify right side
    1,539.04x = 2,077,593.66
  5. Step 5: Solve for x
    x = 2,077,593.66/1,539.04
  6. Step 6: Final answer
    x = 1,349.93

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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.