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Finding the Fourth Proportional to 13,548.84, 18,695.61 and 7,579.86

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Solution

The fourth proportional to 13,548.84, 18,695.61 and 7,579.86 is: 10,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.84 : 18,695.61 = 7,579.86 : x
  2. Step 2: Convert to fraction form
    13,548.84/18,695.61 = 7,579.86/x
  3. Step 3: Cross multiply
    13,548.84x = 18,695.61 × 7,579.86
  4. Step 4: Simplify right side
    13,548.84x = 141,710,106.41
  5. Step 5: Solve for x
    x = 141,710,106.41/13,548.84
  6. Step 6: Final answer
    x = 10,459.21

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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.