Home / 1,298.92-1,948.38-1,106.16

Finding the Fourth Proportional to 1,298.92, 1,948.38 and 1,106.16

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Solution

The fourth proportional to 1,298.92, 1,948.38 and 1,106.16 is: 1,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.92 : 1,948.38 = 1,106.16 : x
  2. Step 2: Convert to fraction form
    1,298.92/1,948.38 = 1,106.16/x
  3. Step 3: Cross multiply
    1,298.92x = 1,948.38 × 1,106.16
  4. Step 4: Simplify right side
    1,298.92x = 2,155,220.02
  5. Step 5: Solve for x
    x = 2,155,220.02/1,298.92
  6. Step 6: Final answer
    x = 1,659.24

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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.