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Finding the Fourth Proportional to 16,497.64, 22,769.22 and 12,987.28

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Solution

The fourth proportional to 16,497.64, 22,769.22 and 12,987.28 is: 17,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.64 : 22,769.22 = 12,987.28 : x
  2. Step 2: Convert to fraction form
    16,497.64/22,769.22 = 12,987.28/x
  3. Step 3: Cross multiply
    16,497.64x = 22,769.22 × 12,987.28
  4. Step 4: Simplify right side
    16,497.64x = 295,710,235.52
  5. Step 5: Solve for x
    x = 295,710,235.52/16,497.64
  6. Step 6: Final answer
    x = 17,924.40

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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.