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Finding the Fourth Proportional to 19,605, 29,407.50 and 5,754

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Solution

The fourth proportional to 19,605, 29,407.50 and 5,754 is: 8,631

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,605 : 29,407.50 = 5,754 : x
  2. Step 2: Convert to fraction form
    19,605/29,407.50 = 5,754/x
  3. Step 3: Cross multiply
    19,605x = 29,407.50 × 5,754
  4. Step 4: Simplify right side
    19,605x = 169,210,755
  5. Step 5: Solve for x
    x = 169,210,755/19,605
  6. Step 6: Final answer
    x = 8,631

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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.