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Finding the Fourth Proportional to 19,783.77, 29,672.44 and 7,309.66

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Solution

The fourth proportional to 19,783.77, 29,672.44 and 7,309.66 is: 10,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.77 : 29,672.44 = 7,309.66 : x
  2. Step 2: Convert to fraction form
    19,783.77/29,672.44 = 7,309.66/x
  3. Step 3: Cross multiply
    19,783.77x = 29,672.44 × 7,309.66
  4. Step 4: Simplify right side
    19,783.77x = 216,895,447.77
  5. Step 5: Solve for x
    x = 216,895,447.77/19,783.77
  6. Step 6: Final answer
    x = 10,963.30

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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.