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Finding the Fourth Proportional to 2,920.28, 4,029.90 and 1,594

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Solution

The fourth proportional to 2,920.28, 4,029.90 and 1,594 is: 2,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.28 : 4,029.90 = 1,594 : x
  2. Step 2: Convert to fraction form
    2,920.28/4,029.90 = 1,594/x
  3. Step 3: Cross multiply
    2,920.28x = 4,029.90 × 1,594
  4. Step 4: Simplify right side
    2,920.28x = 6,423,660.60
  5. Step 5: Solve for x
    x = 6,423,660.60/2,920.28
  6. Step 6: Final answer
    x = 2,199.67

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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.