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Finding the Fourth Proportional to 10,866.99, 16,288.73 and 5,324.07

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Solution

The fourth proportional to 10,866.99, 16,288.73 and 5,324.07 is: 7,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.99 : 16,288.73 = 5,324.07 : x
  2. Step 2: Convert to fraction form
    10,866.99/16,288.73 = 5,324.07/x
  3. Step 3: Cross multiply
    10,866.99x = 16,288.73 × 5,324.07
  4. Step 4: Simplify right side
    10,866.99x = 86,722,312.11
  5. Step 5: Solve for x
    x = 86,722,312.11/10,866.99
  6. Step 6: Final answer
    x = 7,980.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.