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Finding the Fourth Proportional to 13,699.73, 18,904.12 and 7,730.30

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Solution

The fourth proportional to 13,699.73, 18,904.12 and 7,730.30 is: 10,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.73 : 18,904.12 = 7,730.30 : x
  2. Step 2: Convert to fraction form
    13,699.73/18,904.12 = 7,730.30/x
  3. Step 3: Cross multiply
    13,699.73x = 18,904.12 × 7,730.30
  4. Step 4: Simplify right side
    13,699.73x = 146,134,546.77
  5. Step 5: Solve for x
    x = 146,134,546.77/13,699.73
  6. Step 6: Final answer
    x = 10,666.96

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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.