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Finding the Fourth Proportional to 8,648.88, 12,971.16 and 2,807.16

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Solution

The fourth proportional to 8,648.88, 12,971.16 and 2,807.16 is: 4,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.88 : 12,971.16 = 2,807.16 : x
  2. Step 2: Convert to fraction form
    8,648.88/12,971.16 = 2,807.16/x
  3. Step 3: Cross multiply
    8,648.88x = 12,971.16 × 2,807.16
  4. Step 4: Simplify right side
    8,648.88x = 36,412,121.51
  5. Step 5: Solve for x
    x = 36,412,121.51/8,648.88
  6. Step 6: Final answer
    x = 4,210.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.