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Finding the Fourth Proportional to 4,678.02, 6,456.78 and 2,815.02

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Solution

The fourth proportional to 4,678.02, 6,456.78 and 2,815.02 is: 3,885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.02 : 6,456.78 = 2,815.02 : x
  2. Step 2: Convert to fraction form
    4,678.02/6,456.78 = 2,815.02/x
  3. Step 3: Cross multiply
    4,678.02x = 6,456.78 × 2,815.02
  4. Step 4: Simplify right side
    4,678.02x = 18,175,964.84
  5. Step 5: Solve for x
    x = 18,175,964.84/4,678.02
  6. Step 6: Final answer
    x = 3,885.40

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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.