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Finding the Fourth Proportional to 8,692, 13,038 and 2,848.48

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Solution

The fourth proportional to 8,692, 13,038 and 2,848.48 is: 4,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692 : 13,038 = 2,848.48 : x
  2. Step 2: Convert to fraction form
    8,692/13,038 = 2,848.48/x
  3. Step 3: Cross multiply
    8,692x = 13,038 × 2,848.48
  4. Step 4: Simplify right side
    8,692x = 37,138,482.24
  5. Step 5: Solve for x
    x = 37,138,482.24/8,692
  6. Step 6: Final answer
    x = 4,272.72

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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.