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Finding the Fourth Proportional to 11,564.60, 15,950.91 and 7,980.92

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Solution

The fourth proportional to 11,564.60, 15,950.91 and 7,980.92 is: 11,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.60 : 15,950.91 = 7,980.92 : x
  2. Step 2: Convert to fraction form
    11,564.60/15,950.91 = 7,980.92/x
  3. Step 3: Cross multiply
    11,564.60x = 15,950.91 × 7,980.92
  4. Step 4: Simplify right side
    11,564.60x = 127,302,901.73
  5. Step 5: Solve for x
    x = 127,302,901.73/11,564.60
  6. Step 6: Final answer
    x = 11,007.99

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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.