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Finding the Fourth Proportional to 7,029.76, 9,701.10 and 3,886.06

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Solution

The fourth proportional to 7,029.76, 9,701.10 and 3,886.06 is: 5,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.76 : 9,701.10 = 3,886.06 : x
  2. Step 2: Convert to fraction form
    7,029.76/9,701.10 = 3,886.06/x
  3. Step 3: Cross multiply
    7,029.76x = 9,701.10 × 3,886.06
  4. Step 4: Simplify right side
    7,029.76x = 37,699,056.67
  5. Step 5: Solve for x
    x = 37,699,056.67/7,029.76
  6. Step 6: Final answer
    x = 5,362.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.