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Finding the Fourth Proportional to 10,862.86, 16,202.95 and 9,866.26

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Solution

The fourth proportional to 10,862.86, 16,202.95 and 9,866.26 is: 14,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.86 : 16,202.95 = 9,866.26 : x
  2. Step 2: Convert to fraction form
    10,862.86/16,202.95 = 9,866.26/x
  3. Step 3: Cross multiply
    10,862.86x = 16,202.95 × 9,866.26
  4. Step 4: Simplify right side
    10,862.86x = 159,862,436.45
  5. Step 5: Solve for x
    x = 159,862,436.45/10,862.86
  6. Step 6: Final answer
    x = 14,716.43

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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.