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Finding the Fourth Proportional to 10,917.12, 15,066.24 and 7,188.48

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Solution

The fourth proportional to 10,917.12, 15,066.24 and 7,188.48 is: 9,920.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.12 : 15,066.24 = 7,188.48 : x
  2. Step 2: Convert to fraction form
    10,917.12/15,066.24 = 7,188.48/x
  3. Step 3: Cross multiply
    10,917.12x = 15,066.24 × 7,188.48
  4. Step 4: Simplify right side
    10,917.12x = 108,303,364.92
  5. Step 5: Solve for x
    x = 108,303,364.92/10,917.12
  6. Step 6: Final answer
    x = 9,920.51

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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.