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Finding the Fourth Proportional to 39,260, 58,899.72 and 11,558

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Solution

The fourth proportional to 39,260, 58,899.72 and 11,558 is: 17,339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,260 : 58,899.72 = 11,558 : x
  2. Step 2: Convert to fraction form
    39,260/58,899.72 = 11,558/x
  3. Step 3: Cross multiply
    39,260x = 58,899.72 × 11,558
  4. Step 4: Simplify right side
    39,260x = 680,762,963.76
  5. Step 5: Solve for x
    x = 680,762,963.76/39,260
  6. Step 6: Final answer
    x = 17,339.86

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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.