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Finding the Fourth Proportional to 10,866.35, 16,208.16 and 9,869.75

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Solution

The fourth proportional to 10,866.35, 16,208.16 and 9,869.75 is: 14,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.35 : 16,208.16 = 9,869.75 : x
  2. Step 2: Convert to fraction form
    10,866.35/16,208.16 = 9,869.75/x
  3. Step 3: Cross multiply
    10,866.35x = 16,208.16 × 9,869.75
  4. Step 4: Simplify right side
    10,866.35x = 159,970,487.16
  5. Step 5: Solve for x
    x = 159,970,487.16/10,866.35
  6. Step 6: Final answer
    x = 14,721.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.