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Finding the Fourth Proportional to 9,379.68, 14,069.76 and 3,535.20

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Solution

The fourth proportional to 9,379.68, 14,069.76 and 3,535.20 is: 5,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.68 : 14,069.76 = 3,535.20 : x
  2. Step 2: Convert to fraction form
    9,379.68/14,069.76 = 3,535.20/x
  3. Step 3: Cross multiply
    9,379.68x = 14,069.76 × 3,535.20
  4. Step 4: Simplify right side
    9,379.68x = 49,739,415.55
  5. Step 5: Solve for x
    x = 49,739,415.55/9,379.68
  6. Step 6: Final answer
    x = 5,302.89

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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.