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Finding the Fourth Proportional to 6,402.81, 9,602.05 and 3,113.81

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Solution

The fourth proportional to 6,402.81, 9,602.05 and 3,113.81 is: 4,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.81 : 9,602.05 = 3,113.81 : x
  2. Step 2: Convert to fraction form
    6,402.81/9,602.05 = 3,113.81/x
  3. Step 3: Cross multiply
    6,402.81x = 9,602.05 × 3,113.81
  4. Step 4: Simplify right side
    6,402.81x = 29,898,959.31
  5. Step 5: Solve for x
    x = 29,898,959.31/6,402.81
  6. Step 6: Final answer
    x = 4,669.66

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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.