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Finding the Fourth Proportional to 8,714.71, 13,075.71 and 3,788.49

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Solution

The fourth proportional to 8,714.71, 13,075.71 and 3,788.49 is: 5,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.71 : 13,075.71 = 3,788.49 : x
  2. Step 2: Convert to fraction form
    8,714.71/13,075.71 = 3,788.49/x
  3. Step 3: Cross multiply
    8,714.71x = 13,075.71 × 3,788.49
  4. Step 4: Simplify right side
    8,714.71x = 49,537,177.64
  5. Step 5: Solve for x
    x = 49,537,177.64/8,714.71
  6. Step 6: Final answer
    x = 5,684.32

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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.