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Finding the Fourth Proportional to 15,918.64, 21,967.98 and 9,205.78

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Solution

The fourth proportional to 15,918.64, 21,967.98 and 9,205.78 is: 12,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,918.64 : 21,967.98 = 9,205.78 : x
  2. Step 2: Convert to fraction form
    15,918.64/21,967.98 = 9,205.78/x
  3. Step 3: Cross multiply
    15,918.64x = 21,967.98 × 9,205.78
  4. Step 4: Simplify right side
    15,918.64x = 202,232,390.92
  5. Step 5: Solve for x
    x = 202,232,390.92/15,918.64
  6. Step 6: Final answer
    x = 12,704.12

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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.