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Finding the Fourth Proportional to 55,983.52, 83,978 and 18,547.04

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Solution

The fourth proportional to 55,983.52, 83,978 and 18,547.04 is: 27,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,983.52 : 83,978 = 18,547.04 : x
  2. Step 2: Convert to fraction form
    55,983.52/83,978 = 18,547.04/x
  3. Step 3: Cross multiply
    55,983.52x = 83,978 × 18,547.04
  4. Step 4: Simplify right side
    55,983.52x = 1,557,543,325.12
  5. Step 5: Solve for x
    x = 1,557,543,325.12/55,983.52
  6. Step 6: Final answer
    x = 27,821.46

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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.