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Finding the Fourth Proportional to 6,145.70, 9,209.10 and 4,578.35

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Solution

The fourth proportional to 6,145.70, 9,209.10 and 4,578.35 is: 6,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.70 : 9,209.10 = 4,578.35 : x
  2. Step 2: Convert to fraction form
    6,145.70/9,209.10 = 4,578.35/x
  3. Step 3: Cross multiply
    6,145.70x = 9,209.10 × 4,578.35
  4. Step 4: Simplify right side
    6,145.70x = 42,162,482.99
  5. Step 5: Solve for x
    x = 42,162,482.99/6,145.70
  6. Step 6: Final answer
    x = 6,860.49

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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.