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Finding the Fourth Proportional to 14,288.76, 19,718.46 and 8,001

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Solution

The fourth proportional to 14,288.76, 19,718.46 and 8,001 is: 11,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.76 : 19,718.46 = 8,001 : x
  2. Step 2: Convert to fraction form
    14,288.76/19,718.46 = 8,001/x
  3. Step 3: Cross multiply
    14,288.76x = 19,718.46 × 8,001
  4. Step 4: Simplify right side
    14,288.76x = 157,767,398.46
  5. Step 5: Solve for x
    x = 157,767,398.46/14,288.76
  6. Step 6: Final answer
    x = 11,041.36

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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.