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Finding the Fourth Proportional to 27,102.71, 40,659.06 and 12,312.74

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Solution

The fourth proportional to 27,102.71, 40,659.06 and 12,312.74 is: 18,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.71 : 40,659.06 = 12,312.74 : x
  2. Step 2: Convert to fraction form
    27,102.71/40,659.06 = 12,312.74/x
  3. Step 3: Cross multiply
    27,102.71x = 40,659.06 × 12,312.74
  4. Step 4: Simplify right side
    27,102.71x = 500,624,434.42
  5. Step 5: Solve for x
    x = 500,624,434.42/27,102.71
  6. Step 6: Final answer
    x = 18,471.38

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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.