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Finding the Fourth Proportional to 7,029.80, 9,701.76 and 3,887

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Solution

The fourth proportional to 7,029.80, 9,701.76 and 3,887 is: 5,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.80 : 9,701.76 = 3,887 : x
  2. Step 2: Convert to fraction form
    7,029.80/9,701.76 = 3,887/x
  3. Step 3: Cross multiply
    7,029.80x = 9,701.76 × 3,887
  4. Step 4: Simplify right side
    7,029.80x = 37,710,741.12
  5. Step 5: Solve for x
    x = 37,710,741.12/7,029.80
  6. Step 6: Final answer
    x = 5,364.41

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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.