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Finding the Fourth Proportional to 2,866.08, 4,322.13 and 2,827.20

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Solution

The fourth proportional to 2,866.08, 4,322.13 and 2,827.20 is: 4,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.08 : 4,322.13 = 2,827.20 : x
  2. Step 2: Convert to fraction form
    2,866.08/4,322.13 = 2,827.20/x
  3. Step 3: Cross multiply
    2,866.08x = 4,322.13 × 2,827.20
  4. Step 4: Simplify right side
    2,866.08x = 12,219,525.94
  5. Step 5: Solve for x
    x = 12,219,525.94/2,866.08
  6. Step 6: Final answer
    x = 4,263.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.