Home / 1,547.83-2,318.29-1,200.11

Finding the Fourth Proportional to 1,547.83, 2,318.29 and 1,200.11

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Solution

The fourth proportional to 1,547.83, 2,318.29 and 1,200.11 is: 1,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.83 : 2,318.29 = 1,200.11 : x
  2. Step 2: Convert to fraction form
    1,547.83/2,318.29 = 1,200.11/x
  3. Step 3: Cross multiply
    1,547.83x = 2,318.29 × 1,200.11
  4. Step 4: Simplify right side
    1,547.83x = 2,782,205.81
  5. Step 5: Solve for x
    x = 2,782,205.81/1,547.83
  6. Step 6: Final answer
    x = 1,797.49

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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.