Home / 2,432.56-3,649.24-971.76

Finding the Fourth Proportional to 2,432.56, 3,649.24 and 971.76

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Solution

The fourth proportional to 2,432.56, 3,649.24 and 971.76 is: 1,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.56 : 3,649.24 = 971.76 : x
  2. Step 2: Convert to fraction form
    2,432.56/3,649.24 = 971.76/x
  3. Step 3: Cross multiply
    2,432.56x = 3,649.24 × 971.76
  4. Step 4: Simplify right side
    2,432.56x = 3,546,185.46
  5. Step 5: Solve for x
    x = 3,546,185.46/2,432.56
  6. Step 6: Final answer
    x = 1,457.80

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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.