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Finding the Fourth Proportional to 15,807.99, 21,815.12 and 8,638.05

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Solution

The fourth proportional to 15,807.99, 21,815.12 and 8,638.05 is: 11,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.99 : 21,815.12 = 8,638.05 : x
  2. Step 2: Convert to fraction form
    15,807.99/21,815.12 = 8,638.05/x
  3. Step 3: Cross multiply
    15,807.99x = 21,815.12 × 8,638.05
  4. Step 4: Simplify right side
    15,807.99x = 188,440,054.13
  5. Step 5: Solve for x
    x = 188,440,054.13/15,807.99
  6. Step 6: Final answer
    x = 11,920.56

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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.