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Finding the Fourth Proportional to 1,319.20, 1,978.26 and 1,265.20

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Solution

The fourth proportional to 1,319.20, 1,978.26 and 1,265.20 is: 1,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.20 : 1,978.26 = 1,265.20 : x
  2. Step 2: Convert to fraction form
    1,319.20/1,978.26 = 1,265.20/x
  3. Step 3: Cross multiply
    1,319.20x = 1,978.26 × 1,265.20
  4. Step 4: Simplify right side
    1,319.20x = 2,502,894.55
  5. Step 5: Solve for x
    x = 2,502,894.55/1,319.20
  6. Step 6: Final answer
    x = 1,897.28

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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.