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Finding the Fourth Proportional to 3,317.64, 4,978.50 and 1,931.59

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Solution

The fourth proportional to 3,317.64, 4,978.50 and 1,931.59 is: 2,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.64 : 4,978.50 = 1,931.59 : x
  2. Step 2: Convert to fraction form
    3,317.64/4,978.50 = 1,931.59/x
  3. Step 3: Cross multiply
    3,317.64x = 4,978.50 × 1,931.59
  4. Step 4: Simplify right side
    3,317.64x = 9,616,420.82
  5. Step 5: Solve for x
    x = 9,616,420.82/3,317.64
  6. Step 6: Final answer
    x = 2,898.57

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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.