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Finding the Fourth Proportional to 13,590.16, 20,389.56 and 8,664.08

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Solution

The fourth proportional to 13,590.16, 20,389.56 and 8,664.08 is: 12,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590.16 : 20,389.56 = 8,664.08 : x
  2. Step 2: Convert to fraction form
    13,590.16/20,389.56 = 8,664.08/x
  3. Step 3: Cross multiply
    13,590.16x = 20,389.56 × 8,664.08
  4. Step 4: Simplify right side
    13,590.16x = 176,656,779.00
  5. Step 5: Solve for x
    x = 176,656,779.00/13,590.16
  6. Step 6: Final answer
    x = 12,998.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.