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Finding the Fourth Proportional to 1,757.90, 2,426.07 and 972.10

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Solution

The fourth proportional to 1,757.90, 2,426.07 and 972.10 is: 1,341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.90 : 2,426.07 = 972.10 : x
  2. Step 2: Convert to fraction form
    1,757.90/2,426.07 = 972.10/x
  3. Step 3: Cross multiply
    1,757.90x = 2,426.07 × 972.10
  4. Step 4: Simplify right side
    1,757.90x = 2,358,377.79
  5. Step 5: Solve for x
    x = 2,358,377.79/1,757.90
  6. Step 6: Final answer
    x = 1,341.59

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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.