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Finding the Fourth Proportional to 14,130.92, 19,501 and 7,843.70

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Solution

The fourth proportional to 14,130.92, 19,501 and 7,843.70 is: 10,824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.92 : 19,501 = 7,843.70 : x
  2. Step 2: Convert to fraction form
    14,130.92/19,501 = 7,843.70/x
  3. Step 3: Cross multiply
    14,130.92x = 19,501 × 7,843.70
  4. Step 4: Simplify right side
    14,130.92x = 152,959,993.70
  5. Step 5: Solve for x
    x = 152,959,993.70/14,130.92
  6. Step 6: Final answer
    x = 10,824.49

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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.