Home / 1,523.60-2,102.59-824.98

Finding the Fourth Proportional to 1,523.60, 2,102.59 and 824.98

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Solution

The fourth proportional to 1,523.60, 2,102.59 and 824.98 is: 1,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.60 : 2,102.59 = 824.98 : x
  2. Step 2: Convert to fraction form
    1,523.60/2,102.59 = 824.98/x
  3. Step 3: Cross multiply
    1,523.60x = 2,102.59 × 824.98
  4. Step 4: Simplify right side
    1,523.60x = 1,734,587.38
  5. Step 5: Solve for x
    x = 1,734,587.38/1,523.60
  6. Step 6: Final answer
    x = 1,138.48

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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.