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Finding the Fourth Proportional to 10,618.20, 15,859.41 and 9,616.06

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Solution

The fourth proportional to 10,618.20, 15,859.41 and 9,616.06 is: 14,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.20 : 15,859.41 = 9,616.06 : x
  2. Step 2: Convert to fraction form
    10,618.20/15,859.41 = 9,616.06/x
  3. Step 3: Cross multiply
    10,618.20x = 15,859.41 × 9,616.06
  4. Step 4: Simplify right side
    10,618.20x = 152,504,950.40
  5. Step 5: Solve for x
    x = 152,504,950.40/10,618.20
  6. Step 6: Final answer
    x = 14,362.60

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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.