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Finding the Fourth Proportional to 16,840.64, 23,240.05 and 9,287.10

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Solution

The fourth proportional to 16,840.64, 23,240.05 and 9,287.10 is: 12,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,840.64 : 23,240.05 = 9,287.10 : x
  2. Step 2: Convert to fraction form
    16,840.64/23,240.05 = 9,287.10/x
  3. Step 3: Cross multiply
    16,840.64x = 23,240.05 × 9,287.10
  4. Step 4: Simplify right side
    16,840.64x = 215,832,645.14
  5. Step 5: Solve for x
    x = 215,832,645.14/16,840.64
  6. Step 6: Final answer
    x = 12,816.18

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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.