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Finding the Fourth Proportional to 7,012.96, 9,677.86 and 3,869.13

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Solution

The fourth proportional to 7,012.96, 9,677.86 and 3,869.13 is: 5,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.96 : 9,677.86 = 3,869.13 : x
  2. Step 2: Convert to fraction form
    7,012.96/9,677.86 = 3,869.13/x
  3. Step 3: Cross multiply
    7,012.96x = 9,677.86 × 3,869.13
  4. Step 4: Simplify right side
    7,012.96x = 37,444,898.46
  5. Step 5: Solve for x
    x = 37,444,898.46/7,012.96
  6. Step 6: Final answer
    x = 5,339.39

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1.5x scale

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.