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Finding the Fourth Proportional to 27,789, 38,349.18 and 15,213.48

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Solution

The fourth proportional to 27,789, 38,349.18 and 15,213.48 is: 20,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,789 : 38,349.18 = 15,213.48 : x
  2. Step 2: Convert to fraction form
    27,789/38,349.18 = 15,213.48/x
  3. Step 3: Cross multiply
    27,789x = 38,349.18 × 15,213.48
  4. Step 4: Simplify right side
    27,789x = 583,424,482.95
  5. Step 5: Solve for x
    x = 583,424,482.95/27,789
  6. Step 6: Final answer
    x = 20,994.80

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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.