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Finding the Fourth Proportional to 31,990.20, 47,988.90 and 9,803.40

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Solution

The fourth proportional to 31,990.20, 47,988.90 and 9,803.40 is: 14,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990.20 : 47,988.90 = 9,803.40 : x
  2. Step 2: Convert to fraction form
    31,990.20/47,988.90 = 9,803.40/x
  3. Step 3: Cross multiply
    31,990.20x = 47,988.90 × 9,803.40
  4. Step 4: Simplify right side
    31,990.20x = 470,454,382.26
  5. Step 5: Solve for x
    x = 470,454,382.26/31,990.20
  6. Step 6: Final answer
    x = 14,706.20

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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.