Home / 1,534.65-2,117.76-871.59

Finding the Fourth Proportional to 1,534.65, 2,117.76 and 871.59

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Solution

The fourth proportional to 1,534.65, 2,117.76 and 871.59 is: 1,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.65 : 2,117.76 = 871.59 : x
  2. Step 2: Convert to fraction form
    1,534.65/2,117.76 = 871.59/x
  3. Step 3: Cross multiply
    1,534.65x = 2,117.76 × 871.59
  4. Step 4: Simplify right side
    1,534.65x = 1,845,818.44
  5. Step 5: Solve for x
    x = 1,845,818.44/1,534.65
  6. Step 6: Final answer
    x = 1,202.76

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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.