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Finding the Fourth Proportional to 2,431.20, 3,648 and 971.58

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Solution

The fourth proportional to 2,431.20, 3,648 and 971.58 is: 1,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.20 : 3,648 = 971.58 : x
  2. Step 2: Convert to fraction form
    2,431.20/3,648 = 971.58/x
  3. Step 3: Cross multiply
    2,431.20x = 3,648 × 971.58
  4. Step 4: Simplify right side
    2,431.20x = 3,544,323.84
  5. Step 5: Solve for x
    x = 3,544,323.84/2,431.20
  6. Step 6: Final answer
    x = 1,457.85

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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.