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Finding the Fourth Proportional to 1,590.87, 2,384.00 and 1,395.39

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Solution

The fourth proportional to 1,590.87, 2,384.00 and 1,395.39 is: 2,091.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.87 : 2,384.00 = 1,395.39 : x
  2. Step 2: Convert to fraction form
    1,590.87/2,384.00 = 1,395.39/x
  3. Step 3: Cross multiply
    1,590.87x = 2,384.00 × 1,395.39
  4. Step 4: Simplify right side
    1,590.87x = 3,326,616.96
  5. Step 5: Solve for x
    x = 3,326,616.96/1,590.87
  6. Step 6: Final answer
    x = 2,091.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.