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Finding the Fourth Proportional to 1,374, 1,897.20 and 1,065.12

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Solution

The fourth proportional to 1,374, 1,897.20 and 1,065.12 is: 1,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374 : 1,897.20 = 1,065.12 : x
  2. Step 2: Convert to fraction form
    1,374/1,897.20 = 1,065.12/x
  3. Step 3: Cross multiply
    1,374x = 1,897.20 × 1,065.12
  4. Step 4: Simplify right side
    1,374x = 2,020,745.66
  5. Step 5: Solve for x
    x = 2,020,745.66/1,374
  6. Step 6: Final answer
    x = 1,470.70

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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.