Home / 1,407.74-2,116.16-1,306.28

Finding the Fourth Proportional to 1,407.74, 2,116.16 and 1,306.28

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Solution

The fourth proportional to 1,407.74, 2,116.16 and 1,306.28 is: 1,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.74 : 2,116.16 = 1,306.28 : x
  2. Step 2: Convert to fraction form
    1,407.74/2,116.16 = 1,306.28/x
  3. Step 3: Cross multiply
    1,407.74x = 2,116.16 × 1,306.28
  4. Step 4: Simplify right side
    1,407.74x = 2,764,280.37
  5. Step 5: Solve for x
    x = 2,764,280.37/1,407.74
  6. Step 6: Final answer
    x = 1,963.64

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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.