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Finding the Fourth Proportional to 2,807.78, 4,210.45 and 859.52

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Solution

The fourth proportional to 2,807.78, 4,210.45 and 859.52 is: 1,288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.78 : 4,210.45 = 859.52 : x
  2. Step 2: Convert to fraction form
    2,807.78/4,210.45 = 859.52/x
  3. Step 3: Cross multiply
    2,807.78x = 4,210.45 × 859.52
  4. Step 4: Simplify right side
    2,807.78x = 3,618,974.36
  5. Step 5: Solve for x
    x = 3,618,974.36/2,807.78
  6. Step 6: Final answer
    x = 1,288.91

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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.