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Finding the Fourth Proportional to 2,865.66, 4,300.65 and 2,295.42

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Solution

The fourth proportional to 2,865.66, 4,300.65 and 2,295.42 is: 3,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.66 : 4,300.65 = 2,295.42 : x
  2. Step 2: Convert to fraction form
    2,865.66/4,300.65 = 2,295.42/x
  3. Step 3: Cross multiply
    2,865.66x = 4,300.65 × 2,295.42
  4. Step 4: Simplify right side
    2,865.66x = 9,871,798.02
  5. Step 5: Solve for x
    x = 9,871,798.02/2,865.66
  6. Step 6: Final answer
    x = 3,444.86

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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.