Home / 1,117.24-1,543.80-869.20

Finding the Fourth Proportional to 1,117.24, 1,543.80 and 869.20

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Solution

The fourth proportional to 1,117.24, 1,543.80 and 869.20 is: 1,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.24 : 1,543.80 = 869.20 : x
  2. Step 2: Convert to fraction form
    1,117.24/1,543.80 = 869.20/x
  3. Step 3: Cross multiply
    1,117.24x = 1,543.80 × 869.20
  4. Step 4: Simplify right side
    1,117.24x = 1,341,870.96
  5. Step 5: Solve for x
    x = 1,341,870.96/1,117.24
  6. Step 6: Final answer
    x = 1,201.06

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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.