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Finding the Fourth Proportional to 2,509.00, 3,761.44 and 948.12

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Solution

The fourth proportional to 2,509.00, 3,761.44 and 948.12 is: 1,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.00 : 3,761.44 = 948.12 : x
  2. Step 2: Convert to fraction form
    2,509.00/3,761.44 = 948.12/x
  3. Step 3: Cross multiply
    2,509.00x = 3,761.44 × 948.12
  4. Step 4: Simplify right side
    2,509.00x = 3,566,277.69
  5. Step 5: Solve for x
    x = 3,566,277.69/2,509.00
  6. Step 6: Final answer
    x = 1,421.40

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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.