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Finding the Fourth Proportional to 11,217.61, 16,829.06 and 6,290.65

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Solution

The fourth proportional to 11,217.61, 16,829.06 and 6,290.65 is: 9,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,217.61 : 16,829.06 = 6,290.65 : x
  2. Step 2: Convert to fraction form
    11,217.61/16,829.06 = 6,290.65/x
  3. Step 3: Cross multiply
    11,217.61x = 16,829.06 × 6,290.65
  4. Step 4: Simplify right side
    11,217.61x = 105,865,726.29
  5. Step 5: Solve for x
    x = 105,865,726.29/11,217.61
  6. Step 6: Final answer
    x = 9,437.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.