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Finding the Fourth Proportional to 14,689.62, 20,274.30 and 10,705.77

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Solution

The fourth proportional to 14,689.62, 20,274.30 and 10,705.77 is: 14,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.62 : 20,274.30 = 10,705.77 : x
  2. Step 2: Convert to fraction form
    14,689.62/20,274.30 = 10,705.77/x
  3. Step 3: Cross multiply
    14,689.62x = 20,274.30 × 10,705.77
  4. Step 4: Simplify right side
    14,689.62x = 217,051,992.71
  5. Step 5: Solve for x
    x = 217,051,992.71/14,689.62
  6. Step 6: Final answer
    x = 14,775.88

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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.