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Finding the Fourth Proportional to 19,657, 29,485.50 and 5,065

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Solution

The fourth proportional to 19,657, 29,485.50 and 5,065 is: 7,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657 : 29,485.50 = 5,065 : x
  2. Step 2: Convert to fraction form
    19,657/29,485.50 = 5,065/x
  3. Step 3: Cross multiply
    19,657x = 29,485.50 × 5,065
  4. Step 4: Simplify right side
    19,657x = 149,344,057.50
  5. Step 5: Solve for x
    x = 149,344,057.50/19,657
  6. Step 6: Final answer
    x = 7,597.50

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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.