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Finding the Fourth Proportional to 2,921.77, 4,381.03 and 972.91

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Solution

The fourth proportional to 2,921.77, 4,381.03 and 972.91 is: 1,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.77 : 4,381.03 = 972.91 : x
  2. Step 2: Convert to fraction form
    2,921.77/4,381.03 = 972.91/x
  3. Step 3: Cross multiply
    2,921.77x = 4,381.03 × 972.91
  4. Step 4: Simplify right side
    2,921.77x = 4,262,347.90
  5. Step 5: Solve for x
    x = 4,262,347.90/2,921.77
  6. Step 6: Final answer
    x = 1,458.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.