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Finding the Fourth Proportional to 23,590.72, 32,555.84 and 13,520

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Solution

The fourth proportional to 23,590.72, 32,555.84 and 13,520 is: 18,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,590.72 : 32,555.84 = 13,520 : x
  2. Step 2: Convert to fraction form
    23,590.72/32,555.84 = 13,520/x
  3. Step 3: Cross multiply
    23,590.72x = 32,555.84 × 13,520
  4. Step 4: Simplify right side
    23,590.72x = 440,154,956.80
  5. Step 5: Solve for x
    x = 440,154,956.80/23,590.72
  6. Step 6: Final answer
    x = 18,657.97

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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.