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Finding the Fourth Proportional to 11,381.16, 15,708.42 and 7,653

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Solution

The fourth proportional to 11,381.16, 15,708.42 and 7,653 is: 10,562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.16 : 15,708.42 = 7,653 : x
  2. Step 2: Convert to fraction form
    11,381.16/15,708.42 = 7,653/x
  3. Step 3: Cross multiply
    11,381.16x = 15,708.42 × 7,653
  4. Step 4: Simplify right side
    11,381.16x = 120,216,538.26
  5. Step 5: Solve for x
    x = 120,216,538.26/11,381.16
  6. Step 6: Final answer
    x = 10,562.77

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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.