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Finding the Fourth Proportional to 1,402.80, 2,089.80 and 1,339.62

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Solution

The fourth proportional to 1,402.80, 2,089.80 and 1,339.62 is: 1,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.80 : 2,089.80 = 1,339.62 : x
  2. Step 2: Convert to fraction form
    1,402.80/2,089.80 = 1,339.62/x
  3. Step 3: Cross multiply
    1,402.80x = 2,089.80 × 1,339.62
  4. Step 4: Simplify right side
    1,402.80x = 2,799,537.88
  5. Step 5: Solve for x
    x = 2,799,537.88/1,402.80
  6. Step 6: Final answer
    x = 1,995.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.