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Finding the Fourth Proportional to 25,929, 38,899.26 and 9,513

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Solution

The fourth proportional to 25,929, 38,899.26 and 9,513 is: 14,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,929 : 38,899.26 = 9,513 : x
  2. Step 2: Convert to fraction form
    25,929/38,899.26 = 9,513/x
  3. Step 3: Cross multiply
    25,929x = 38,899.26 × 9,513
  4. Step 4: Simplify right side
    25,929x = 370,048,660.38
  5. Step 5: Solve for x
    x = 370,048,660.38/25,929
  6. Step 6: Final answer
    x = 14,271.61

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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.