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Finding the Fourth Proportional to 11,381.16, 15,699.72 and 7,138.44

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Solution

The fourth proportional to 11,381.16, 15,699.72 and 7,138.44 is: 9,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.16 : 15,699.72 = 7,138.44 : x
  2. Step 2: Convert to fraction form
    11,381.16/15,699.72 = 7,138.44/x
  3. Step 3: Cross multiply
    11,381.16x = 15,699.72 × 7,138.44
  4. Step 4: Simplify right side
    11,381.16x = 112,071,509.24
  5. Step 5: Solve for x
    x = 112,071,509.24/11,381.16
  6. Step 6: Final answer
    x = 9,847.11

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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.