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Finding the Fourth Proportional to 25,080, 37,637.31 and 8,664

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Solution

The fourth proportional to 25,080, 37,637.31 and 8,664 is: 13,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,080 : 37,637.31 = 8,664 : x
  2. Step 2: Convert to fraction form
    25,080/37,637.31 = 8,664/x
  3. Step 3: Cross multiply
    25,080x = 37,637.31 × 8,664
  4. Step 4: Simplify right side
    25,080x = 326,089,653.84
  5. Step 5: Solve for x
    x = 326,089,653.84/25,080
  6. Step 6: Final answer
    x = 13,001.98

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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.