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Finding the Fourth Proportional to 6,427.62, 8,865.72 and 4,838.40

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Solution

The fourth proportional to 6,427.62, 8,865.72 and 4,838.40 is: 6,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.62 : 8,865.72 = 4,838.40 : x
  2. Step 2: Convert to fraction form
    6,427.62/8,865.72 = 4,838.40/x
  3. Step 3: Cross multiply
    6,427.62x = 8,865.72 × 4,838.40
  4. Step 4: Simplify right side
    6,427.62x = 42,895,899.65
  5. Step 5: Solve for x
    x = 42,895,899.65/6,427.62
  6. Step 6: Final answer
    x = 6,673.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.