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Finding the Fourth Proportional to 15,857.64, 21,883.68 and 8,784.18

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Solution

The fourth proportional to 15,857.64, 21,883.68 and 8,784.18 is: 12,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.64 : 21,883.68 = 8,784.18 : x
  2. Step 2: Convert to fraction form
    15,857.64/21,883.68 = 8,784.18/x
  3. Step 3: Cross multiply
    15,857.64x = 21,883.68 × 8,784.18
  4. Step 4: Simplify right side
    15,857.64x = 192,230,184.18
  5. Step 5: Solve for x
    x = 192,230,184.18/15,857.64
  6. Step 6: Final answer
    x = 12,122.24

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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.