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Finding the Fourth Proportional to 13,240, 18,271.68 and 7,575.76

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Solution

The fourth proportional to 13,240, 18,271.68 and 7,575.76 is: 10,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,240 : 18,271.68 = 7,575.76 : x
  2. Step 2: Convert to fraction form
    13,240/18,271.68 = 7,575.76/x
  3. Step 3: Cross multiply
    13,240x = 18,271.68 × 7,575.76
  4. Step 4: Simplify right side
    13,240x = 138,421,862.48
  5. Step 5: Solve for x
    x = 138,421,862.48/13,240
  6. Step 6: Final answer
    x = 10,454.82

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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.