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Finding the Fourth Proportional to 19,509, 29,263.50 and 5,658.12

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Solution

The fourth proportional to 19,509, 29,263.50 and 5,658.12 is: 8,487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509 : 29,263.50 = 5,658.12 : x
  2. Step 2: Convert to fraction form
    19,509/29,263.50 = 5,658.12/x
  3. Step 3: Cross multiply
    19,509x = 29,263.50 × 5,658.12
  4. Step 4: Simplify right side
    19,509x = 165,576,394.62
  5. Step 5: Solve for x
    x = 165,576,394.62/19,509
  6. Step 6: Final answer
    x = 8,487.18

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1.5x scale

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.