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Finding the Fourth Proportional to 20,839.68, 31,259.16 and 6,988.68

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Solution

The fourth proportional to 20,839.68, 31,259.16 and 6,988.68 is: 10,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,839.68 : 31,259.16 = 6,988.68 : x
  2. Step 2: Convert to fraction form
    20,839.68/31,259.16 = 6,988.68/x
  3. Step 3: Cross multiply
    20,839.68x = 31,259.16 × 6,988.68
  4. Step 4: Simplify right side
    20,839.68x = 218,460,266.31
  5. Step 5: Solve for x
    x = 218,460,266.31/20,839.68
  6. Step 6: Final answer
    x = 10,482.90

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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.