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Finding the Fourth Proportional to 3,053.75, 4,214.18 and 1,656.50

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Solution

The fourth proportional to 3,053.75, 4,214.18 and 1,656.50 is: 2,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.75 : 4,214.18 = 1,656.50 : x
  2. Step 2: Convert to fraction form
    3,053.75/4,214.18 = 1,656.50/x
  3. Step 3: Cross multiply
    3,053.75x = 4,214.18 × 1,656.50
  4. Step 4: Simplify right side
    3,053.75x = 6,980,789.17
  5. Step 5: Solve for x
    x = 6,980,789.17/3,053.75
  6. Step 6: Final answer
    x = 2,285.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.