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Finding the Fourth Proportional to 1,580.50, 2,359.81 and 1,395.82

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Solution

The fourth proportional to 1,580.50, 2,359.81 and 1,395.82 is: 2,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.50 : 2,359.81 = 1,395.82 : x
  2. Step 2: Convert to fraction form
    1,580.50/2,359.81 = 1,395.82/x
  3. Step 3: Cross multiply
    1,580.50x = 2,359.81 × 1,395.82
  4. Step 4: Simplify right side
    1,580.50x = 3,293,869.99
  5. Step 5: Solve for x
    x = 3,293,869.99/1,580.50
  6. Step 6: Final answer
    x = 2,084.07

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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.