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Finding the Fourth Proportional to 19,000.50, 26,220.69 and 10,617

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Solution

The fourth proportional to 19,000.50, 26,220.69 and 10,617 is: 14,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000.50 : 26,220.69 = 10,617 : x
  2. Step 2: Convert to fraction form
    19,000.50/26,220.69 = 10,617/x
  3. Step 3: Cross multiply
    19,000.50x = 26,220.69 × 10,617
  4. Step 4: Simplify right side
    19,000.50x = 278,385,065.73
  5. Step 5: Solve for x
    x = 278,385,065.73/19,000.50
  6. Step 6: Final answer
    x = 14,651.46

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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.