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Finding the Fourth Proportional to 21,980.80, 32,946.90 and 9,498.70

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Solution

The fourth proportional to 21,980.80, 32,946.90 and 9,498.70 is: 14,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.80 : 32,946.90 = 9,498.70 : x
  2. Step 2: Convert to fraction form
    21,980.80/32,946.90 = 9,498.70/x
  3. Step 3: Cross multiply
    21,980.80x = 32,946.90 × 9,498.70
  4. Step 4: Simplify right side
    21,980.80x = 312,952,719.03
  5. Step 5: Solve for x
    x = 312,952,719.03/21,980.80
  6. Step 6: Final answer
    x = 14,237.55

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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.