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Finding the Fourth Proportional to 10,976.70, 15,154.76 and 7,618.44

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Solution

The fourth proportional to 10,976.70, 15,154.76 and 7,618.44 is: 10,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.70 : 15,154.76 = 7,618.44 : x
  2. Step 2: Convert to fraction form
    10,976.70/15,154.76 = 7,618.44/x
  3. Step 3: Cross multiply
    10,976.70x = 15,154.76 × 7,618.44
  4. Step 4: Simplify right side
    10,976.70x = 115,455,629.77
  5. Step 5: Solve for x
    x = 115,455,629.77/10,976.70
  6. Step 6: Final answer
    x = 10,518.25

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1.5x scale

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.