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Finding the Fourth Proportional to 10,778.84, 14,866.84 and 7,422.72

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Solution

The fourth proportional to 10,778.84, 14,866.84 and 7,422.72 is: 10,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.84 : 14,866.84 = 7,422.72 : x
  2. Step 2: Convert to fraction form
    10,778.84/14,866.84 = 7,422.72/x
  3. Step 3: Cross multiply
    10,778.84x = 14,866.84 × 7,422.72
  4. Step 4: Simplify right side
    10,778.84x = 110,352,390.60
  5. Step 5: Solve for x
    x = 110,352,390.60/10,778.84
  6. Step 6: Final answer
    x = 10,237.87

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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.