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Finding the Fourth Proportional to 12,999.49, 19,542.74 and 10,259.19

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Solution

The fourth proportional to 12,999.49, 19,542.74 and 10,259.19 is: 15,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,999.49 : 19,542.74 = 10,259.19 : x
  2. Step 2: Convert to fraction form
    12,999.49/19,542.74 = 10,259.19/x
  3. Step 3: Cross multiply
    12,999.49x = 19,542.74 × 10,259.19
  4. Step 4: Simplify right side
    12,999.49x = 200,492,631.48
  5. Step 5: Solve for x
    x = 200,492,631.48/12,999.49
  6. Step 6: Final answer
    x = 15,423.12

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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.