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Finding the Fourth Proportional to 1,315.87, 1,971.23 and 1,054.66

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Solution

The fourth proportional to 1,315.87, 1,971.23 and 1,054.66 is: 1,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.87 : 1,971.23 = 1,054.66 : x
  2. Step 2: Convert to fraction form
    1,315.87/1,971.23 = 1,054.66/x
  3. Step 3: Cross multiply
    1,315.87x = 1,971.23 × 1,054.66
  4. Step 4: Simplify right side
    1,315.87x = 2,078,976.68
  5. Step 5: Solve for x
    x = 2,078,976.68/1,315.87
  6. Step 6: Final answer
    x = 1,579.92

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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.