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Finding the Fourth Proportional to 13,952.96, 20,929.48 and 9,811.50

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Solution

The fourth proportional to 13,952.96, 20,929.48 and 9,811.50 is: 14,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.96 : 20,929.48 = 9,811.50 : x
  2. Step 2: Convert to fraction form
    13,952.96/20,929.48 = 9,811.50/x
  3. Step 3: Cross multiply
    13,952.96x = 20,929.48 × 9,811.50
  4. Step 4: Simplify right side
    13,952.96x = 205,349,593.02
  5. Step 5: Solve for x
    x = 205,349,593.02/13,952.96
  6. Step 6: Final answer
    x = 14,717.28

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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.