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Finding the Fourth Proportional to 27,302.81, 40,962.92 and 13,969.80

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Solution

The fourth proportional to 27,302.81, 40,962.92 and 13,969.80 is: 20,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,302.81 : 40,962.92 = 13,969.80 : x
  2. Step 2: Convert to fraction form
    27,302.81/40,962.92 = 13,969.80/x
  3. Step 3: Cross multiply
    27,302.81x = 40,962.92 × 13,969.80
  4. Step 4: Simplify right side
    27,302.81x = 572,243,729.97
  5. Step 5: Solve for x
    x = 572,243,729.97/27,302.81
  6. Step 6: Final answer
    x = 20,959.16

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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.