Home / 1,460.22-2,187.33-971.70

Finding the Fourth Proportional to 1,460.22, 2,187.33 and 971.70

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Solution

The fourth proportional to 1,460.22, 2,187.33 and 971.70 is: 1,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.22 : 2,187.33 = 971.70 : x
  2. Step 2: Convert to fraction form
    1,460.22/2,187.33 = 971.70/x
  3. Step 3: Cross multiply
    1,460.22x = 2,187.33 × 971.70
  4. Step 4: Simplify right side
    1,460.22x = 2,125,428.56
  5. Step 5: Solve for x
    x = 2,125,428.56/1,460.22
  6. Step 6: Final answer
    x = 1,455.55

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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.