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Finding the Fourth Proportional to 5,009.16, 7,513.16 and 1,311.75

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Solution

The fourth proportional to 5,009.16, 7,513.16 and 1,311.75 is: 1,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.16 : 7,513.16 = 1,311.75 : x
  2. Step 2: Convert to fraction form
    5,009.16/7,513.16 = 1,311.75/x
  3. Step 3: Cross multiply
    5,009.16x = 7,513.16 × 1,311.75
  4. Step 4: Simplify right side
    5,009.16x = 9,855,390.91
  5. Step 5: Solve for x
    x = 9,855,390.91/5,009.16
  6. Step 6: Final answer
    x = 1,967.47

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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.