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Finding the Fourth Proportional to 7,209.76, 10,813.12 and 3,510.40

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Solution

The fourth proportional to 7,209.76, 10,813.12 and 3,510.40 is: 5,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.76 : 10,813.12 = 3,510.40 : x
  2. Step 2: Convert to fraction form
    7,209.76/10,813.12 = 3,510.40/x
  3. Step 3: Cross multiply
    7,209.76x = 10,813.12 × 3,510.40
  4. Step 4: Simplify right side
    7,209.76x = 37,958,376.45
  5. Step 5: Solve for x
    x = 37,958,376.45/7,209.76
  6. Step 6: Final answer
    x = 5,264.86

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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.