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Finding the Fourth Proportional to 25,594.38, 38,386.44 and 7,821.90

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Solution

The fourth proportional to 25,594.38, 38,386.44 and 7,821.90 is: 11,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594.38 : 38,386.44 = 7,821.90 : x
  2. Step 2: Convert to fraction form
    25,594.38/38,386.44 = 7,821.90/x
  3. Step 3: Cross multiply
    25,594.38x = 38,386.44 × 7,821.90
  4. Step 4: Simplify right side
    25,594.38x = 300,254,895.04
  5. Step 5: Solve for x
    x = 300,254,895.04/25,594.38
  6. Step 6: Final answer
    x = 11,731.28

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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.