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Finding the Fourth Proportional to 20,821.47, 31,242.47 and 9,728.93

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Solution

The fourth proportional to 20,821.47, 31,242.47 and 9,728.93 is: 14,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821.47 : 31,242.47 = 9,728.93 : x
  2. Step 2: Convert to fraction form
    20,821.47/31,242.47 = 9,728.93/x
  3. Step 3: Cross multiply
    20,821.47x = 31,242.47 × 9,728.93
  4. Step 4: Simplify right side
    20,821.47x = 303,955,598.80
  5. Step 5: Solve for x
    x = 303,955,598.80/20,821.47
  6. Step 6: Final answer
    x = 14,598.18

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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.