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Finding the Fourth Proportional to 13,716.53, 18,929.18 and 7,749.08

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Solution

The fourth proportional to 13,716.53, 18,929.18 and 7,749.08 is: 10,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.53 : 18,929.18 = 7,749.08 : x
  2. Step 2: Convert to fraction form
    13,716.53/18,929.18 = 7,749.08/x
  3. Step 3: Cross multiply
    13,716.53x = 18,929.18 × 7,749.08
  4. Step 4: Simplify right side
    13,716.53x = 146,683,730.15
  5. Step 5: Solve for x
    x = 146,683,730.15/13,716.53
  6. Step 6: Final answer
    x = 10,693.94

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1.5x scale

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.