Home / 1,957.28-2,930.16-1,306.40

Finding the Fourth Proportional to 1,957.28, 2,930.16 and 1,306.40

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Solution

The fourth proportional to 1,957.28, 2,930.16 and 1,306.40 is: 1,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.28 : 2,930.16 = 1,306.40 : x
  2. Step 2: Convert to fraction form
    1,957.28/2,930.16 = 1,306.40/x
  3. Step 3: Cross multiply
    1,957.28x = 2,930.16 × 1,306.40
  4. Step 4: Simplify right side
    1,957.28x = 3,827,961.02
  5. Step 5: Solve for x
    x = 3,827,961.02/1,957.28
  6. Step 6: Final answer
    x = 1,955.76

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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.