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Finding the Fourth Proportional to 2,328.54, 3,490.38 and 867.06

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Solution

The fourth proportional to 2,328.54, 3,490.38 and 867.06 is: 1,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.54 : 3,490.38 = 867.06 : x
  2. Step 2: Convert to fraction form
    2,328.54/3,490.38 = 867.06/x
  3. Step 3: Cross multiply
    2,328.54x = 3,490.38 × 867.06
  4. Step 4: Simplify right side
    2,328.54x = 3,026,368.88
  5. Step 5: Solve for x
    x = 3,026,368.88/2,328.54
  6. Step 6: Final answer
    x = 1,299.69

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1.5x scale

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.