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Finding the Fourth Proportional to 27,762.80, 38,312.80 and 15,187.76

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Solution

The fourth proportional to 27,762.80, 38,312.80 and 15,187.76 is: 20,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.80 : 38,312.80 = 15,187.76 : x
  2. Step 2: Convert to fraction form
    27,762.80/38,312.80 = 15,187.76/x
  3. Step 3: Cross multiply
    27,762.80x = 38,312.80 × 15,187.76
  4. Step 4: Simplify right side
    27,762.80x = 581,885,611.33
  5. Step 5: Solve for x
    x = 581,885,611.33/27,762.80
  6. Step 6: Final answer
    x = 20,959.18

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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.