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Finding the Fourth Proportional to 20,803.19, 31,204.78 and 6,952.19

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Solution

The fourth proportional to 20,803.19, 31,204.78 and 6,952.19 is: 10,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.19 : 31,204.78 = 6,952.19 : x
  2. Step 2: Convert to fraction form
    20,803.19/31,204.78 = 6,952.19/x
  3. Step 3: Cross multiply
    20,803.19x = 31,204.78 × 6,952.19
  4. Step 4: Simplify right side
    20,803.19x = 216,941,559.47
  5. Step 5: Solve for x
    x = 216,941,559.47/20,803.19
  6. Step 6: Final answer
    x = 10,428.28

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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.