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Finding the Fourth Proportional to 39,264, 58,896 and 11,561.60

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Solution

The fourth proportional to 39,264, 58,896 and 11,561.60 is: 17,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,264 : 58,896 = 11,561.60 : x
  2. Step 2: Convert to fraction form
    39,264/58,896 = 11,561.60/x
  3. Step 3: Cross multiply
    39,264x = 58,896 × 11,561.60
  4. Step 4: Simplify right side
    39,264x = 680,931,993.60
  5. Step 5: Solve for x
    x = 680,931,993.60/39,264
  6. Step 6: Final answer
    x = 17,342.40

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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.