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Finding the Fourth Proportional to 6,512.79, 9,749.75 and 4,434.87

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Solution

The fourth proportional to 6,512.79, 9,749.75 and 4,434.87 is: 6,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.79 : 9,749.75 = 4,434.87 : x
  2. Step 2: Convert to fraction form
    6,512.79/9,749.75 = 4,434.87/x
  3. Step 3: Cross multiply
    6,512.79x = 9,749.75 × 4,434.87
  4. Step 4: Simplify right side
    6,512.79x = 43,238,851.61
  5. Step 5: Solve for x
    x = 43,238,851.61/6,512.79
  6. Step 6: Final answer
    x = 6,639.07

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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.