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Finding the Fourth Proportional to 10,866, 14,994.36 and 6,389.04

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Solution

The fourth proportional to 10,866, 14,994.36 and 6,389.04 is: 8,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866 : 14,994.36 = 6,389.04 : x
  2. Step 2: Convert to fraction form
    10,866/14,994.36 = 6,389.04/x
  3. Step 3: Cross multiply
    10,866x = 14,994.36 × 6,389.04
  4. Step 4: Simplify right side
    10,866x = 95,799,565.81
  5. Step 5: Solve for x
    x = 95,799,565.81/10,866
  6. Step 6: Final answer
    x = 8,816.45

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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.