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Finding the Fourth Proportional to 9,614.80, 13,266.83 and 6,422.98

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Solution

The fourth proportional to 9,614.80, 13,266.83 and 6,422.98 is: 8,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.80 : 13,266.83 = 6,422.98 : x
  2. Step 2: Convert to fraction form
    9,614.80/13,266.83 = 6,422.98/x
  3. Step 3: Cross multiply
    9,614.80x = 13,266.83 × 6,422.98
  4. Step 4: Simplify right side
    9,614.80x = 85,212,518.47
  5. Step 5: Solve for x
    x = 85,212,518.47/9,614.80
  6. Step 6: Final answer
    x = 8,862.64

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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.