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Finding the Fourth Proportional to 25,121, 37,681.50 and 6,653

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Solution

The fourth proportional to 25,121, 37,681.50 and 6,653 is: 9,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,121 : 37,681.50 = 6,653 : x
  2. Step 2: Convert to fraction form
    25,121/37,681.50 = 6,653/x
  3. Step 3: Cross multiply
    25,121x = 37,681.50 × 6,653
  4. Step 4: Simplify right side
    25,121x = 250,695,019.50
  5. Step 5: Solve for x
    x = 250,695,019.50/25,121
  6. Step 6: Final answer
    x = 9,979.50

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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.