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Finding the Fourth Proportional to 9,209.20, 13,813.80 and 5,310.40

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Solution

The fourth proportional to 9,209.20, 13,813.80 and 5,310.40 is: 7,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.20 : 13,813.80 = 5,310.40 : x
  2. Step 2: Convert to fraction form
    9,209.20/13,813.80 = 5,310.40/x
  3. Step 3: Cross multiply
    9,209.20x = 13,813.80 × 5,310.40
  4. Step 4: Simplify right side
    9,209.20x = 73,356,803.52
  5. Step 5: Solve for x
    x = 73,356,803.52/9,209.20
  6. Step 6: Final answer
    x = 7,965.60

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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.