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Finding the Fourth Proportional to 1,574.40, 2,350.23 and 1,380

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Solution

The fourth proportional to 1,574.40, 2,350.23 and 1,380 is: 2,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.40 : 2,350.23 = 1,380 : x
  2. Step 2: Convert to fraction form
    1,574.40/2,350.23 = 1,380/x
  3. Step 3: Cross multiply
    1,574.40x = 2,350.23 × 1,380
  4. Step 4: Simplify right side
    1,574.40x = 3,243,317.40
  5. Step 5: Solve for x
    x = 3,243,317.40/1,574.40
  6. Step 6: Final answer
    x = 2,060.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.