Home / 1,409.90-2,116.20-1,102.10

Finding the Fourth Proportional to 1,409.90, 2,116.20 and 1,102.10

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Solution

The fourth proportional to 1,409.90, 2,116.20 and 1,102.10 is: 1,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.90 : 2,116.20 = 1,102.10 : x
  2. Step 2: Convert to fraction form
    1,409.90/2,116.20 = 1,102.10/x
  3. Step 3: Cross multiply
    1,409.90x = 2,116.20 × 1,102.10
  4. Step 4: Simplify right side
    1,409.90x = 2,332,264.02
  5. Step 5: Solve for x
    x = 2,332,264.02/1,409.90
  6. Step 6: Final answer
    x = 1,654.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.