Home / 1,534.15-2,116.94-870.86

Finding the Fourth Proportional to 1,534.15, 2,116.94 and 870.86

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Solution

The fourth proportional to 1,534.15, 2,116.94 and 870.86 is: 1,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.15 : 2,116.94 = 870.86 : x
  2. Step 2: Convert to fraction form
    1,534.15/2,116.94 = 870.86/x
  3. Step 3: Cross multiply
    1,534.15x = 2,116.94 × 870.86
  4. Step 4: Simplify right side
    1,534.15x = 1,843,559.31
  5. Step 5: Solve for x
    x = 1,843,559.31/1,534.15
  6. Step 6: Final answer
    x = 1,201.68

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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.