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Finding the Fourth Proportional to 20,570.81, 30,856.21 and 4,988.43

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Solution

The fourth proportional to 20,570.81, 30,856.21 and 4,988.43 is: 7,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.81 : 30,856.21 = 4,988.43 : x
  2. Step 2: Convert to fraction form
    20,570.81/30,856.21 = 4,988.43/x
  3. Step 3: Cross multiply
    20,570.81x = 30,856.21 × 4,988.43
  4. Step 4: Simplify right side
    20,570.81x = 153,924,043.65
  5. Step 5: Solve for x
    x = 153,924,043.65/20,570.81
  6. Step 6: Final answer
    x = 7,482.64

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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.