Home / 1,506.87-2,260.32-840.21

Finding the Fourth Proportional to 1,506.87, 2,260.32 and 840.21

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Solution

The fourth proportional to 1,506.87, 2,260.32 and 840.21 is: 1,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.87 : 2,260.32 = 840.21 : x
  2. Step 2: Convert to fraction form
    1,506.87/2,260.32 = 840.21/x
  3. Step 3: Cross multiply
    1,506.87x = 2,260.32 × 840.21
  4. Step 4: Simplify right side
    1,506.87x = 1,899,143.47
  5. Step 5: Solve for x
    x = 1,899,143.47/1,506.87
  6. Step 6: Final answer
    x = 1,260.32

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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.