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Finding the Fourth Proportional to 2,730.96, 4,097 and 975.80

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Solution

The fourth proportional to 2,730.96, 4,097 and 975.80 is: 1,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.96 : 4,097 = 975.80 : x
  2. Step 2: Convert to fraction form
    2,730.96/4,097 = 975.80/x
  3. Step 3: Cross multiply
    2,730.96x = 4,097 × 975.80
  4. Step 4: Simplify right side
    2,730.96x = 3,997,852.60
  5. Step 5: Solve for x
    x = 3,997,852.60/2,730.96
  6. Step 6: Final answer
    x = 1,463.90

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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.