Home / 1,538.16-2,122.92-917.28

Finding the Fourth Proportional to 1,538.16, 2,122.92 and 917.28

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Solution

The fourth proportional to 1,538.16, 2,122.92 and 917.28 is: 1,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.16 : 2,122.92 = 917.28 : x
  2. Step 2: Convert to fraction form
    1,538.16/2,122.92 = 917.28/x
  3. Step 3: Cross multiply
    1,538.16x = 2,122.92 × 917.28
  4. Step 4: Simplify right side
    1,538.16x = 1,947,312.06
  5. Step 5: Solve for x
    x = 1,947,312.06/1,538.16
  6. Step 6: Final answer
    x = 1,266.00

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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.