Home / 1,523.71-2,102.65-926.55

Finding the Fourth Proportional to 1,523.71, 2,102.65 and 926.55

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Solution

The fourth proportional to 1,523.71, 2,102.65 and 926.55 is: 1,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.71 : 2,102.65 = 926.55 : x
  2. Step 2: Convert to fraction form
    1,523.71/2,102.65 = 926.55/x
  3. Step 3: Cross multiply
    1,523.71x = 2,102.65 × 926.55
  4. Step 4: Simplify right side
    1,523.71x = 1,948,210.36
  5. Step 5: Solve for x
    x = 1,948,210.36/1,523.71
  6. Step 6: Final answer
    x = 1,278.60

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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.