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Finding the Fourth Proportional to 1,757.90, 2,425.78 and 971.94

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Solution

The fourth proportional to 1,757.90, 2,425.78 and 971.94 is: 1,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.90 : 2,425.78 = 971.94 : x
  2. Step 2: Convert to fraction form
    1,757.90/2,425.78 = 971.94/x
  3. Step 3: Cross multiply
    1,757.90x = 2,425.78 × 971.94
  4. Step 4: Simplify right side
    1,757.90x = 2,357,712.61
  5. Step 5: Solve for x
    x = 2,357,712.61/1,757.90
  6. Step 6: Final answer
    x = 1,341.21

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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.