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Finding the Fourth Proportional to 16,071.60, 22,178 and 8,901.12

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Solution

The fourth proportional to 16,071.60, 22,178 and 8,901.12 is: 12,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.60 : 22,178 = 8,901.12 : x
  2. Step 2: Convert to fraction form
    16,071.60/22,178 = 8,901.12/x
  3. Step 3: Cross multiply
    16,071.60x = 22,178 × 8,901.12
  4. Step 4: Simplify right side
    16,071.60x = 197,409,039.36
  5. Step 5: Solve for x
    x = 197,409,039.36/16,071.60
  6. Step 6: Final answer
    x = 12,283.10

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Half scale
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Double scale
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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.