Home / 1,518.72-2,278.08-971.16

Finding the Fourth Proportional to 1,518.72, 2,278.08 and 971.16

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Solution

The fourth proportional to 1,518.72, 2,278.08 and 971.16 is: 1,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.72 : 2,278.08 = 971.16 : x
  2. Step 2: Convert to fraction form
    1,518.72/2,278.08 = 971.16/x
  3. Step 3: Cross multiply
    1,518.72x = 2,278.08 × 971.16
  4. Step 4: Simplify right side
    1,518.72x = 2,212,380.17
  5. Step 5: Solve for x
    x = 2,212,380.17/1,518.72
  6. Step 6: Final answer
    x = 1,456.74

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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.