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Finding the Fourth Proportional to 9,690.95, 14,542.80 and 5,311.48

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Solution

The fourth proportional to 9,690.95, 14,542.80 and 5,311.48 is: 7,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.95 : 14,542.80 = 5,311.48 : x
  2. Step 2: Convert to fraction form
    9,690.95/14,542.80 = 5,311.48/x
  3. Step 3: Cross multiply
    9,690.95x = 14,542.80 × 5,311.48
  4. Step 4: Simplify right side
    9,690.95x = 77,243,791.34
  5. Step 5: Solve for x
    x = 77,243,791.34/9,690.95
  6. Step 6: Final answer
    x = 7,970.71

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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.