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Finding the Fourth Proportional to 27,420.50, 41,130.76 and 8,952.50

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Solution

The fourth proportional to 27,420.50, 41,130.76 and 8,952.50 is: 13,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.50 : 41,130.76 = 8,952.50 : x
  2. Step 2: Convert to fraction form
    27,420.50/41,130.76 = 8,952.50/x
  3. Step 3: Cross multiply
    27,420.50x = 41,130.76 × 8,952.50
  4. Step 4: Simplify right side
    27,420.50x = 368,223,128.90
  5. Step 5: Solve for x
    x = 368,223,128.90/27,420.50
  6. Step 6: Final answer
    x = 13,428.75

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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.