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Finding the Fourth Proportional to 12,908.40, 17,811 and 8,923.20

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Solution

The fourth proportional to 12,908.40, 17,811 and 8,923.20 is: 12,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.40 : 17,811 = 8,923.20 : x
  2. Step 2: Convert to fraction form
    12,908.40/17,811 = 8,923.20/x
  3. Step 3: Cross multiply
    12,908.40x = 17,811 × 8,923.20
  4. Step 4: Simplify right side
    12,908.40x = 158,931,115.20
  5. Step 5: Solve for x
    x = 158,931,115.20/12,908.40
  6. Step 6: Final answer
    x = 12,312.22

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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.