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Finding the Fourth Proportional to 8,664.47, 13,001.67 and 8,594

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Solution

The fourth proportional to 8,664.47, 13,001.67 and 8,594 is: 12,895.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.47 : 13,001.67 = 8,594 : x
  2. Step 2: Convert to fraction form
    8,664.47/13,001.67 = 8,594/x
  3. Step 3: Cross multiply
    8,664.47x = 13,001.67 × 8,594
  4. Step 4: Simplify right side
    8,664.47x = 111,736,351.98
  5. Step 5: Solve for x
    x = 111,736,351.98/8,664.47
  6. Step 6: Final answer
    x = 12,895.92

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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.