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Finding the Fourth Proportional to 8,749.50, 12,074.31 and 5,607.51

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Solution

The fourth proportional to 8,749.50, 12,074.31 and 5,607.51 is: 7,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.50 : 12,074.31 = 5,607.51 : x
  2. Step 2: Convert to fraction form
    8,749.50/12,074.31 = 5,607.51/x
  3. Step 3: Cross multiply
    8,749.50x = 12,074.31 × 5,607.51
  4. Step 4: Simplify right side
    8,749.50x = 67,706,814.07
  5. Step 5: Solve for x
    x = 67,706,814.07/8,749.50
  6. Step 6: Final answer
    x = 7,738.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.