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Finding the Fourth Proportional to 1,748.57, 2,412.62 and 992.31

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Solution

The fourth proportional to 1,748.57, 2,412.62 and 992.31 is: 1,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.57 : 2,412.62 = 992.31 : x
  2. Step 2: Convert to fraction form
    1,748.57/2,412.62 = 992.31/x
  3. Step 3: Cross multiply
    1,748.57x = 2,412.62 × 992.31
  4. Step 4: Simplify right side
    1,748.57x = 2,394,061.99
  5. Step 5: Solve for x
    x = 2,394,061.99/1,748.57
  6. Step 6: Final answer
    x = 1,369.15

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1.5x scale

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.