Home / 20,988-31,478.16-6,947.52

Finding the Fourth Proportional to 20,988, 31,478.16 and 6,947.52

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Solution

The fourth proportional to 20,988, 31,478.16 and 6,947.52 is: 10,420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,988 : 31,478.16 = 6,947.52 : x
  2. Step 2: Convert to fraction form
    20,988/31,478.16 = 6,947.52/x
  3. Step 3: Cross multiply
    20,988x = 31,478.16 × 6,947.52
  4. Step 4: Simplify right side
    20,988x = 218,695,146.16
  5. Step 5: Solve for x
    x = 218,695,146.16/20,988
  6. Step 6: Final answer
    x = 10,420.01

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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.