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Finding the Fourth Proportional to 10,005.90, 13,812.03 and 8,956.14

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Solution

The fourth proportional to 10,005.90, 13,812.03 and 8,956.14 is: 12,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.90 : 13,812.03 = 8,956.14 : x
  2. Step 2: Convert to fraction form
    10,005.90/13,812.03 = 8,956.14/x
  3. Step 3: Cross multiply
    10,005.90x = 13,812.03 × 8,956.14
  4. Step 4: Simplify right side
    10,005.90x = 123,702,474.36
  5. Step 5: Solve for x
    x = 123,702,474.36/10,005.90
  6. Step 6: Final answer
    x = 12,362.95

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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.