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Finding the Fourth Proportional to 10,578.64, 15,837.08 and 9,168.77

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Solution

The fourth proportional to 10,578.64, 15,837.08 and 9,168.77 is: 13,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.64 : 15,837.08 = 9,168.77 : x
  2. Step 2: Convert to fraction form
    10,578.64/15,837.08 = 9,168.77/x
  3. Step 3: Cross multiply
    10,578.64x = 15,837.08 × 9,168.77
  4. Step 4: Simplify right side
    10,578.64x = 145,206,543.99
  5. Step 5: Solve for x
    x = 145,206,543.99/10,578.64
  6. Step 6: Final answer
    x = 13,726.39

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1.5x scale

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.