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Finding the Fourth Proportional to 14,301, 19,736.46 and 8,013.78

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Solution

The fourth proportional to 14,301, 19,736.46 and 8,013.78 is: 11,059.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301 : 19,736.46 = 8,013.78 : x
  2. Step 2: Convert to fraction form
    14,301/19,736.46 = 8,013.78/x
  3. Step 3: Cross multiply
    14,301x = 19,736.46 × 8,013.78
  4. Step 4: Simplify right side
    14,301x = 158,163,648.42
  5. Step 5: Solve for x
    x = 158,163,648.42/14,301
  6. Step 6: Final answer
    x = 11,059.62

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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.