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Finding the Fourth Proportional to 10,471.61, 14,446 and 6,434.78

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Solution

The fourth proportional to 10,471.61, 14,446 and 6,434.78 is: 8,877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.61 : 14,446 = 6,434.78 : x
  2. Step 2: Convert to fraction form
    10,471.61/14,446 = 6,434.78/x
  3. Step 3: Cross multiply
    10,471.61x = 14,446 × 6,434.78
  4. Step 4: Simplify right side
    10,471.61x = 92,956,831.88
  5. Step 5: Solve for x
    x = 92,956,831.88/10,471.61
  6. Step 6: Final answer
    x = 8,877.03

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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.