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Finding the Fourth Proportional to 13,248, 18,282.72 and 7,583.76

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Solution

The fourth proportional to 13,248, 18,282.72 and 7,583.76 is: 10,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,248 : 18,282.72 = 7,583.76 : x
  2. Step 2: Convert to fraction form
    13,248/18,282.72 = 7,583.76/x
  3. Step 3: Cross multiply
    13,248x = 18,282.72 × 7,583.76
  4. Step 4: Simplify right side
    13,248x = 138,651,760.63
  5. Step 5: Solve for x
    x = 138,651,760.63/13,248
  6. Step 6: Final answer
    x = 10,465.86

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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.