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Finding the Fourth Proportional to 8,742, 13,111.68 and 2,897.88

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Solution

The fourth proportional to 8,742, 13,111.68 and 2,897.88 is: 4,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742 : 13,111.68 = 2,897.88 : x
  2. Step 2: Convert to fraction form
    8,742/13,111.68 = 2,897.88/x
  3. Step 3: Cross multiply
    8,742x = 13,111.68 × 2,897.88
  4. Step 4: Simplify right side
    8,742x = 37,996,075.24
  5. Step 5: Solve for x
    x = 37,996,075.24/8,742
  6. Step 6: Final answer
    x = 4,346.38

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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.