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Finding the Fourth Proportional to 8,757, 13,128.14 and 4,074.63

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Solution

The fourth proportional to 8,757, 13,128.14 and 4,074.63 is: 6,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757 : 13,128.14 = 4,074.63 : x
  2. Step 2: Convert to fraction form
    8,757/13,128.14 = 4,074.63/x
  3. Step 3: Cross multiply
    8,757x = 13,128.14 × 4,074.63
  4. Step 4: Simplify right side
    8,757x = 53,492,292.72
  5. Step 5: Solve for x
    x = 53,492,292.72/8,757
  6. Step 6: Final answer
    x = 6,108.52

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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.