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Finding the Fourth Proportional to 27,430.78, 41,146.80 and 8,962.78

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Solution

The fourth proportional to 27,430.78, 41,146.80 and 8,962.78 is: 13,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430.78 : 41,146.80 = 8,962.78 : x
  2. Step 2: Convert to fraction form
    27,430.78/41,146.80 = 8,962.78/x
  3. Step 3: Cross multiply
    27,430.78x = 41,146.80 × 8,962.78
  4. Step 4: Simplify right side
    27,430.78x = 368,789,716.10
  5. Step 5: Solve for x
    x = 368,789,716.10/27,430.78
  6. Step 6: Final answer
    x = 13,444.38

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1.5x scale

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.