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Finding the Fourth Proportional to 8,590.64, 12,888.72 and 3,664.49

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Solution

The fourth proportional to 8,590.64, 12,888.72 and 3,664.49 is: 5,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.64 : 12,888.72 = 3,664.49 : x
  2. Step 2: Convert to fraction form
    8,590.64/12,888.72 = 3,664.49/x
  3. Step 3: Cross multiply
    8,590.64x = 12,888.72 × 3,664.49
  4. Step 4: Simplify right side
    8,590.64x = 47,230,521.11
  5. Step 5: Solve for x
    x = 47,230,521.11/8,590.64
  6. Step 6: Final answer
    x = 5,497.91

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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.