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Finding the Fourth Proportional to 20,984.13, 31,482.27 and 7,133.13

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Solution

The fourth proportional to 20,984.13, 31,482.27 and 7,133.13 is: 10,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984.13 : 31,482.27 = 7,133.13 : x
  2. Step 2: Convert to fraction form
    20,984.13/31,482.27 = 7,133.13/x
  3. Step 3: Cross multiply
    20,984.13x = 31,482.27 × 7,133.13
  4. Step 4: Simplify right side
    20,984.13x = 224,567,124.61
  5. Step 5: Solve for x
    x = 224,567,124.61/20,984.13
  6. Step 6: Final answer
    x = 10,701.76

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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.