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Finding the Fourth Proportional to 2,710.50, 3,740.28 and 1,648.12

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Solution

The fourth proportional to 2,710.50, 3,740.28 and 1,648.12 is: 2,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.50 : 3,740.28 = 1,648.12 : x
  2. Step 2: Convert to fraction form
    2,710.50/3,740.28 = 1,648.12/x
  3. Step 3: Cross multiply
    2,710.50x = 3,740.28 × 1,648.12
  4. Step 4: Simplify right side
    2,710.50x = 6,164,424.01
  5. Step 5: Solve for x
    x = 6,164,424.01/2,710.50
  6. Step 6: Final answer
    x = 2,274.28

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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.