Home / 1,114.96-1,680.76-1,098.16

Finding the Fourth Proportional to 1,114.96, 1,680.76 and 1,098.16

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Solution

The fourth proportional to 1,114.96, 1,680.76 and 1,098.16 is: 1,655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.96 : 1,680.76 = 1,098.16 : x
  2. Step 2: Convert to fraction form
    1,114.96/1,680.76 = 1,098.16/x
  3. Step 3: Cross multiply
    1,114.96x = 1,680.76 × 1,098.16
  4. Step 4: Simplify right side
    1,114.96x = 1,845,743.40
  5. Step 5: Solve for x
    x = 1,845,743.40/1,114.96
  6. Step 6: Final answer
    x = 1,655.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.