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Finding the Fourth Proportional to 23,338.70, 32,206.90 and 12,728.10

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Solution

The fourth proportional to 23,338.70, 32,206.90 and 12,728.10 is: 17,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,338.70 : 32,206.90 = 12,728.10 : x
  2. Step 2: Convert to fraction form
    23,338.70/32,206.90 = 12,728.10/x
  3. Step 3: Cross multiply
    23,338.70x = 32,206.90 × 12,728.10
  4. Step 4: Simplify right side
    23,338.70x = 409,932,643.89
  5. Step 5: Solve for x
    x = 409,932,643.89/23,338.70
  6. Step 6: Final answer
    x = 17,564.50

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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.