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Finding the Fourth Proportional to 11,587.71, 15,989.84 and 7,111.65

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Solution

The fourth proportional to 11,587.71, 15,989.84 and 7,111.65 is: 9,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.71 : 15,989.84 = 7,111.65 : x
  2. Step 2: Convert to fraction form
    11,587.71/15,989.84 = 7,111.65/x
  3. Step 3: Cross multiply
    11,587.71x = 15,989.84 × 7,111.65
  4. Step 4: Simplify right side
    11,587.71x = 113,714,145.64
  5. Step 5: Solve for x
    x = 113,714,145.64/11,587.71
  6. Step 6: Final answer
    x = 9,813.34

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Double scale
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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.