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Finding the Fourth Proportional to 10,991.64, 15,155.10 and 7,637.24

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Solution

The fourth proportional to 10,991.64, 15,155.10 and 7,637.24 is: 10,530.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.64 : 15,155.10 = 7,637.24 : x
  2. Step 2: Convert to fraction form
    10,991.64/15,155.10 = 7,637.24/x
  3. Step 3: Cross multiply
    10,991.64x = 15,155.10 × 7,637.24
  4. Step 4: Simplify right side
    10,991.64x = 115,743,135.92
  5. Step 5: Solve for x
    x = 115,743,135.92/10,991.64
  6. Step 6: Final answer
    x = 10,530.11

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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.