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Finding the Fourth Proportional to 1,534.08, 2,116.98 and 870.98

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Solution

The fourth proportional to 1,534.08, 2,116.98 and 870.98 is: 1,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.08 : 2,116.98 = 870.98 : x
  2. Step 2: Convert to fraction form
    1,534.08/2,116.98 = 870.98/x
  3. Step 3: Cross multiply
    1,534.08x = 2,116.98 × 870.98
  4. Step 4: Simplify right side
    1,534.08x = 1,843,847.24
  5. Step 5: Solve for x
    x = 1,843,847.24/1,534.08
  6. Step 6: Final answer
    x = 1,201.92

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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.