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Finding the Fourth Proportional to 13,734.02, 18,952.99 and 7,446.40

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Solution

The fourth proportional to 13,734.02, 18,952.99 and 7,446.40 is: 10,276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.02 : 18,952.99 = 7,446.40 : x
  2. Step 2: Convert to fraction form
    13,734.02/18,952.99 = 7,446.40/x
  3. Step 3: Cross multiply
    13,734.02x = 18,952.99 × 7,446.40
  4. Step 4: Simplify right side
    13,734.02x = 141,131,478.74
  5. Step 5: Solve for x
    x = 141,131,478.74/13,734.02
  6. Step 6: Final answer
    x = 10,276.05

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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.