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Finding the Fourth Proportional to 21,216.71, 31,809.91 and 9,965.77

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Solution

The fourth proportional to 21,216.71, 31,809.91 and 9,965.77 is: 14,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216.71 : 31,809.91 = 9,965.77 : x
  2. Step 2: Convert to fraction form
    21,216.71/31,809.91 = 9,965.77/x
  3. Step 3: Cross multiply
    21,216.71x = 31,809.91 × 9,965.77
  4. Step 4: Simplify right side
    21,216.71x = 317,010,246.78
  5. Step 5: Solve for x
    x = 317,010,246.78/21,216.71
  6. Step 6: Final answer
    x = 14,941.54

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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.