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Finding the Fourth Proportional to 13,705.92, 18,913.70 and 7,656.48

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Solution

The fourth proportional to 13,705.92, 18,913.70 and 7,656.48 is: 10,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.92 : 18,913.70 = 7,656.48 : x
  2. Step 2: Convert to fraction form
    13,705.92/18,913.70 = 7,656.48/x
  3. Step 3: Cross multiply
    13,705.92x = 18,913.70 × 7,656.48
  4. Step 4: Simplify right side
    13,705.92x = 144,812,365.78
  5. Step 5: Solve for x
    x = 144,812,365.78/13,705.92
  6. Step 6: Final answer
    x = 10,565.68

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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.