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Finding the Fourth Proportional to 1,424.10, 1,964.89 and 1,325.00

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Solution

The fourth proportional to 1,424.10, 1,964.89 and 1,325.00 is: 1,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.10 : 1,964.89 = 1,325.00 : x
  2. Step 2: Convert to fraction form
    1,424.10/1,964.89 = 1,325.00/x
  3. Step 3: Cross multiply
    1,424.10x = 1,964.89 × 1,325.00
  4. Step 4: Simplify right side
    1,424.10x = 2,603,484.16
  5. Step 5: Solve for x
    x = 2,603,484.16/1,424.10
  6. Step 6: Final answer
    x = 1,828.16

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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.