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Finding the Fourth Proportional to 2,866.32, 3,955.26 and 1,606.98

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Solution

The fourth proportional to 2,866.32, 3,955.26 and 1,606.98 is: 2,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.32 : 3,955.26 = 1,606.98 : x
  2. Step 2: Convert to fraction form
    2,866.32/3,955.26 = 1,606.98/x
  3. Step 3: Cross multiply
    2,866.32x = 3,955.26 × 1,606.98
  4. Step 4: Simplify right side
    2,866.32x = 6,356,023.71
  5. Step 5: Solve for x
    x = 6,356,023.71/2,866.32
  6. Step 6: Final answer
    x = 2,217.49

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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.