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Finding the Fourth Proportional to 10,470.81, 15,685.01 and 4,840.49

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Solution

The fourth proportional to 10,470.81, 15,685.01 and 4,840.49 is: 7,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.81 : 15,685.01 = 4,840.49 : x
  2. Step 2: Convert to fraction form
    10,470.81/15,685.01 = 4,840.49/x
  3. Step 3: Cross multiply
    10,470.81x = 15,685.01 × 4,840.49
  4. Step 4: Simplify right side
    10,470.81x = 75,923,031.43
  5. Step 5: Solve for x
    x = 75,923,031.43/10,470.81
  6. Step 6: Final answer
    x = 7,250.92

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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.