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Finding the Fourth Proportional to 13,697.03, 18,901.89 and 7,728.74

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Solution

The fourth proportional to 13,697.03, 18,901.89 and 7,728.74 is: 10,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.03 : 18,901.89 = 7,728.74 : x
  2. Step 2: Convert to fraction form
    13,697.03/18,901.89 = 7,728.74/x
  3. Step 3: Cross multiply
    13,697.03x = 18,901.89 × 7,728.74
  4. Step 4: Simplify right side
    13,697.03x = 146,087,698.81
  5. Step 5: Solve for x
    x = 146,087,698.81/13,697.03
  6. Step 6: Final answer
    x = 10,665.65

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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.