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Finding the Fourth Proportional to 9,429.36, 12,982.95 and 8,010.24

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Solution

The fourth proportional to 9,429.36, 12,982.95 and 8,010.24 is: 11,029.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.36 : 12,982.95 = 8,010.24 : x
  2. Step 2: Convert to fraction form
    9,429.36/12,982.95 = 8,010.24/x
  3. Step 3: Cross multiply
    9,429.36x = 12,982.95 × 8,010.24
  4. Step 4: Simplify right side
    9,429.36x = 103,996,545.41
  5. Step 5: Solve for x
    x = 103,996,545.41/9,429.36
  6. Step 6: Final answer
    x = 11,029.01

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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.