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Finding the Fourth Proportional to 20,047.71, 30,048.31 and 7,559.74

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Solution

The fourth proportional to 20,047.71, 30,048.31 and 7,559.74 is: 11,330.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.71 : 30,048.31 = 7,559.74 : x
  2. Step 2: Convert to fraction form
    20,047.71/30,048.31 = 7,559.74/x
  3. Step 3: Cross multiply
    20,047.71x = 30,048.31 × 7,559.74
  4. Step 4: Simplify right side
    20,047.71x = 227,157,411.04
  5. Step 5: Solve for x
    x = 227,157,411.04/20,047.71
  6. Step 6: Final answer
    x = 11,330.84

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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.