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Finding the Fourth Proportional to 5,009, 7,513.98 and 1,361

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Solution

The fourth proportional to 5,009, 7,513.98 and 1,361 is: 2,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009 : 7,513.98 = 1,361 : x
  2. Step 2: Convert to fraction form
    5,009/7,513.98 = 1,361/x
  3. Step 3: Cross multiply
    5,009x = 7,513.98 × 1,361
  4. Step 4: Simplify right side
    5,009x = 10,226,526.78
  5. Step 5: Solve for x
    x = 10,226,526.78/5,009
  6. Step 6: Final answer
    x = 2,041.63

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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.