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Finding the Fourth Proportional to 25,152, 37,726.72 and 7,621.76

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Solution

The fourth proportional to 25,152, 37,726.72 and 7,621.76 is: 11,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,152 : 37,726.72 = 7,621.76 : x
  2. Step 2: Convert to fraction form
    25,152/37,726.72 = 7,621.76/x
  3. Step 3: Cross multiply
    25,152x = 37,726.72 × 7,621.76
  4. Step 4: Simplify right side
    25,152x = 287,544,005.43
  5. Step 5: Solve for x
    x = 287,544,005.43/25,152
  6. Step 6: Final answer
    x = 11,432.25

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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.