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Finding the Fourth Proportional to 2,253.40, 3,097.75 and 1,937.50

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Solution

The fourth proportional to 2,253.40, 3,097.75 and 1,937.50 is: 2,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.40 : 3,097.75 = 1,937.50 : x
  2. Step 2: Convert to fraction form
    2,253.40/3,097.75 = 1,937.50/x
  3. Step 3: Cross multiply
    2,253.40x = 3,097.75 × 1,937.50
  4. Step 4: Simplify right side
    2,253.40x = 6,001,890.63
  5. Step 5: Solve for x
    x = 6,001,890.63/2,253.40
  6. Step 6: Final answer
    x = 2,663.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.