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Finding the Fourth Proportional to 34,039, 51,058.86 and 9,415

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Solution

The fourth proportional to 34,039, 51,058.86 and 9,415 is: 14,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,039 : 51,058.86 = 9,415 : x
  2. Step 2: Convert to fraction form
    34,039/51,058.86 = 9,415/x
  3. Step 3: Cross multiply
    34,039x = 51,058.86 × 9,415
  4. Step 4: Simplify right side
    34,039x = 480,719,166.90
  5. Step 5: Solve for x
    x = 480,719,166.90/34,039
  6. Step 6: Final answer
    x = 14,122.60

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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.