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Finding the Fourth Proportional to 4,656.86, 6,985.18 and 2,190.31

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Solution

The fourth proportional to 4,656.86, 6,985.18 and 2,190.31 is: 3,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.86 : 6,985.18 = 2,190.31 : x
  2. Step 2: Convert to fraction form
    4,656.86/6,985.18 = 2,190.31/x
  3. Step 3: Cross multiply
    4,656.86x = 6,985.18 × 2,190.31
  4. Step 4: Simplify right side
    4,656.86x = 15,299,709.61
  5. Step 5: Solve for x
    x = 15,299,709.61/4,656.86
  6. Step 6: Final answer
    x = 3,285.41

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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.