Home / 1,120.19-1,547.37-842.53

Finding the Fourth Proportional to 1,120.19, 1,547.37 and 842.53

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Solution

The fourth proportional to 1,120.19, 1,547.37 and 842.53 is: 1,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.19 : 1,547.37 = 842.53 : x
  2. Step 2: Convert to fraction form
    1,120.19/1,547.37 = 842.53/x
  3. Step 3: Cross multiply
    1,120.19x = 1,547.37 × 842.53
  4. Step 4: Simplify right side
    1,120.19x = 1,303,701.78
  5. Step 5: Solve for x
    x = 1,303,701.78/1,120.19
  6. Step 6: Final answer
    x = 1,163.82

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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.