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Finding the Fourth Proportional to 15,895.20, 23,822.40 and 8,875.20

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Solution

The fourth proportional to 15,895.20, 23,822.40 and 8,875.20 is: 13,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,895.20 : 23,822.40 = 8,875.20 : x
  2. Step 2: Convert to fraction form
    15,895.20/23,822.40 = 8,875.20/x
  3. Step 3: Cross multiply
    15,895.20x = 23,822.40 × 8,875.20
  4. Step 4: Simplify right side
    15,895.20x = 211,428,564.48
  5. Step 5: Solve for x
    x = 211,428,564.48/15,895.20
  6. Step 6: Final answer
    x = 13,301.41

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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.