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Finding the Fourth Proportional to 4,656.40, 6,978.39 and 1,731.76

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Solution

The fourth proportional to 4,656.40, 6,978.39 and 1,731.76 is: 2,595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.40 : 6,978.39 = 1,731.76 : x
  2. Step 2: Convert to fraction form
    4,656.40/6,978.39 = 1,731.76/x
  3. Step 3: Cross multiply
    4,656.40x = 6,978.39 × 1,731.76
  4. Step 4: Simplify right side
    4,656.40x = 12,084,896.67
  5. Step 5: Solve for x
    x = 12,084,896.67/4,656.40
  6. Step 6: Final answer
    x = 2,595.33

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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.