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Finding the Fourth Proportional to 11,314.65, 15,619.64 and 7,960.34

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Solution

The fourth proportional to 11,314.65, 15,619.64 and 7,960.34 is: 10,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.65 : 15,619.64 = 7,960.34 : x
  2. Step 2: Convert to fraction form
    11,314.65/15,619.64 = 7,960.34/x
  3. Step 3: Cross multiply
    11,314.65x = 15,619.64 × 7,960.34
  4. Step 4: Simplify right side
    11,314.65x = 124,337,644.32
  5. Step 5: Solve for x
    x = 124,337,644.32/11,314.65
  6. Step 6: Final answer
    x = 10,989.08

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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.