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Finding the Fourth Proportional to 8,992.50, 12,409.13 and 5,013.47

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Solution

The fourth proportional to 8,992.50, 12,409.13 and 5,013.47 is: 6,918.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992.50 : 12,409.13 = 5,013.47 : x
  2. Step 2: Convert to fraction form
    8,992.50/12,409.13 = 5,013.47/x
  3. Step 3: Cross multiply
    8,992.50x = 12,409.13 × 5,013.47
  4. Step 4: Simplify right side
    8,992.50x = 62,212,844.54
  5. Step 5: Solve for x
    x = 62,212,844.54/8,992.50
  6. Step 6: Final answer
    x = 6,918.31

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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.