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Finding the Fourth Proportional to 31,856.88, 47,786.40 and 14,326.74

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Solution

The fourth proportional to 31,856.88, 47,786.40 and 14,326.74 is: 21,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,856.88 : 47,786.40 = 14,326.74 : x
  2. Step 2: Convert to fraction form
    31,856.88/47,786.40 = 14,326.74/x
  3. Step 3: Cross multiply
    31,856.88x = 47,786.40 × 14,326.74
  4. Step 4: Simplify right side
    31,856.88x = 684,623,328.34
  5. Step 5: Solve for x
    x = 684,623,328.34/31,856.88
  6. Step 6: Final answer
    x = 21,490.60

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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.