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Finding the Fourth Proportional to 2,890.68, 3,989.15 and 1,564.38

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Solution

The fourth proportional to 2,890.68, 3,989.15 and 1,564.38 is: 2,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.68 : 3,989.15 = 1,564.38 : x
  2. Step 2: Convert to fraction form
    2,890.68/3,989.15 = 1,564.38/x
  3. Step 3: Cross multiply
    2,890.68x = 3,989.15 × 1,564.38
  4. Step 4: Simplify right side
    2,890.68x = 6,240,543.86
  5. Step 5: Solve for x
    x = 6,240,543.86/2,890.68
  6. Step 6: Final answer
    x = 2,158.85

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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.