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Finding the Fourth Proportional to 1,740.80, 2,402.04 and 1,042

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Solution

The fourth proportional to 1,740.80, 2,402.04 and 1,042 is: 1,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.80 : 2,402.04 = 1,042 : x
  2. Step 2: Convert to fraction form
    1,740.80/2,402.04 = 1,042/x
  3. Step 3: Cross multiply
    1,740.80x = 2,402.04 × 1,042
  4. Step 4: Simplify right side
    1,740.80x = 2,502,925.68
  5. Step 5: Solve for x
    x = 2,502,925.68/1,740.80
  6. Step 6: Final answer
    x = 1,437.80

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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.