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Finding the Fourth Proportional to 10,246.50, 15,370.02 and 4,090.50

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Solution

The fourth proportional to 10,246.50, 15,370.02 and 4,090.50 is: 6,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.50 : 15,370.02 = 4,090.50 : x
  2. Step 2: Convert to fraction form
    10,246.50/15,370.02 = 4,090.50/x
  3. Step 3: Cross multiply
    10,246.50x = 15,370.02 × 4,090.50
  4. Step 4: Simplify right side
    10,246.50x = 62,871,066.81
  5. Step 5: Solve for x
    x = 62,871,066.81/10,246.50
  6. Step 6: Final answer
    x = 6,135.86

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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.