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Finding the Fourth Proportional to 1,972.16, 2,957.04 and 931.52

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Solution

The fourth proportional to 1,972.16, 2,957.04 and 931.52 is: 1,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.16 : 2,957.04 = 931.52 : x
  2. Step 2: Convert to fraction form
    1,972.16/2,957.04 = 931.52/x
  3. Step 3: Cross multiply
    1,972.16x = 2,957.04 × 931.52
  4. Step 4: Simplify right side
    1,972.16x = 2,754,541.90
  5. Step 5: Solve for x
    x = 2,754,541.90/1,972.16
  6. Step 6: Final answer
    x = 1,396.71

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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.