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Finding the Fourth Proportional to 1,954.69, 2,931.35 and 567.67

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Solution

The fourth proportional to 1,954.69, 2,931.35 and 567.67 is: 851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.69 : 2,931.35 = 567.67 : x
  2. Step 2: Convert to fraction form
    1,954.69/2,931.35 = 567.67/x
  3. Step 3: Cross multiply
    1,954.69x = 2,931.35 × 567.67
  4. Step 4: Simplify right side
    1,954.69x = 1,664,039.45
  5. Step 5: Solve for x
    x = 1,664,039.45/1,954.69
  6. Step 6: Final answer
    x = 851.31

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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.