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Finding the Fourth Proportional to 11,383.87, 15,712.25 and 7,398.06

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Solution

The fourth proportional to 11,383.87, 15,712.25 and 7,398.06 is: 10,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.87 : 15,712.25 = 7,398.06 : x
  2. Step 2: Convert to fraction form
    11,383.87/15,712.25 = 7,398.06/x
  3. Step 3: Cross multiply
    11,383.87x = 15,712.25 × 7,398.06
  4. Step 4: Simplify right side
    11,383.87x = 116,240,168.24
  5. Step 5: Solve for x
    x = 116,240,168.24/11,383.87
  6. Step 6: Final answer
    x = 10,210.95

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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.