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Finding the Fourth Proportional to 15,842.81, 21,862.77 and 8,769.28

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Solution

The fourth proportional to 15,842.81, 21,862.77 and 8,769.28 is: 12,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.81 : 21,862.77 = 8,769.28 : x
  2. Step 2: Convert to fraction form
    15,842.81/21,862.77 = 8,769.28/x
  3. Step 3: Cross multiply
    15,842.81x = 21,862.77 × 8,769.28
  4. Step 4: Simplify right side
    15,842.81x = 191,720,751.71
  5. Step 5: Solve for x
    x = 191,720,751.71/15,842.81
  6. Step 6: Final answer
    x = 12,101.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.