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Finding the Fourth Proportional to 20,047.74, 30,071.47 and 15,668.88

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Solution

The fourth proportional to 20,047.74, 30,071.47 and 15,668.88 is: 23,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.74 : 30,071.47 = 15,668.88 : x
  2. Step 2: Convert to fraction form
    20,047.74/30,071.47 = 15,668.88/x
  3. Step 3: Cross multiply
    20,047.74x = 30,071.47 × 15,668.88
  4. Step 4: Simplify right side
    20,047.74x = 471,186,065.32
  5. Step 5: Solve for x
    x = 471,186,065.32/20,047.74
  6. Step 6: Final answer
    x = 23,503.21

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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.