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Finding the Fourth Proportional to 31,872.77, 47,803.95 and 9,378.18

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Solution

The fourth proportional to 31,872.77, 47,803.95 and 9,378.18 is: 14,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872.77 : 47,803.95 = 9,378.18 : x
  2. Step 2: Convert to fraction form
    31,872.77/47,803.95 = 9,378.18/x
  3. Step 3: Cross multiply
    31,872.77x = 47,803.95 × 9,378.18
  4. Step 4: Simplify right side
    31,872.77x = 448,314,047.81
  5. Step 5: Solve for x
    x = 448,314,047.81/31,872.77
  6. Step 6: Final answer
    x = 14,065.74

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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.