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Finding the Fourth Proportional to 1,376.00, 1,897.44 and 1,061.31

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Solution

The fourth proportional to 1,376.00, 1,897.44 and 1,061.31 is: 1,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.00 : 1,897.44 = 1,061.31 : x
  2. Step 2: Convert to fraction form
    1,376.00/1,897.44 = 1,061.31/x
  3. Step 3: Cross multiply
    1,376.00x = 1,897.44 × 1,061.31
  4. Step 4: Simplify right side
    1,376.00x = 2,013,772.05
  5. Step 5: Solve for x
    x = 2,013,772.05/1,376.00
  6. Step 6: Final answer
    x = 1,463.50

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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.