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Finding the Fourth Proportional to 6,328.09, 9,482.90 and 4,478.20

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Solution

The fourth proportional to 6,328.09, 9,482.90 and 4,478.20 is: 6,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.09 : 9,482.90 = 4,478.20 : x
  2. Step 2: Convert to fraction form
    6,328.09/9,482.90 = 4,478.20/x
  3. Step 3: Cross multiply
    6,328.09x = 9,482.90 × 4,478.20
  4. Step 4: Simplify right side
    6,328.09x = 42,466,322.78
  5. Step 5: Solve for x
    x = 42,466,322.78/6,328.09
  6. Step 6: Final answer
    x = 6,710.76

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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.