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Finding the Fourth Proportional to 25,765, 38,647.50 and 6,309

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Solution

The fourth proportional to 25,765, 38,647.50 and 6,309 is: 9,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765 : 38,647.50 = 6,309 : x
  2. Step 2: Convert to fraction form
    25,765/38,647.50 = 6,309/x
  3. Step 3: Cross multiply
    25,765x = 38,647.50 × 6,309
  4. Step 4: Simplify right side
    25,765x = 243,827,077.50
  5. Step 5: Solve for x
    x = 243,827,077.50/25,765
  6. Step 6: Final answer
    x = 9,463.50

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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.