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Finding the Fourth Proportional to 1,390.76, 1,909.20 and 1,193.93

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Solution

The fourth proportional to 1,390.76, 1,909.20 and 1,193.93 is: 1,639.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.76 : 1,909.20 = 1,193.93 : x
  2. Step 2: Convert to fraction form
    1,390.76/1,909.20 = 1,193.93/x
  3. Step 3: Cross multiply
    1,390.76x = 1,909.20 × 1,193.93
  4. Step 4: Simplify right side
    1,390.76x = 2,279,451.16
  5. Step 5: Solve for x
    x = 2,279,451.16/1,390.76
  6. Step 6: Final answer
    x = 1,639.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.