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Finding the Fourth Proportional to 8,666.48, 13,001 and 2,509.68

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Solution

The fourth proportional to 8,666.48, 13,001 and 2,509.68 is: 3,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.48 : 13,001 = 2,509.68 : x
  2. Step 2: Convert to fraction form
    8,666.48/13,001 = 2,509.68/x
  3. Step 3: Cross multiply
    8,666.48x = 13,001 × 2,509.68
  4. Step 4: Simplify right side
    8,666.48x = 32,628,349.68
  5. Step 5: Solve for x
    x = 32,628,349.68/8,666.48
  6. Step 6: Final answer
    x = 3,764.89

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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.