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Finding the Fourth Proportional to 46,778.40, 64,543.68 and 27,912

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Solution

The fourth proportional to 46,778.40, 64,543.68 and 27,912 is: 38,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,778.40 : 64,543.68 = 27,912 : x
  2. Step 2: Convert to fraction form
    46,778.40/64,543.68 = 27,912/x
  3. Step 3: Cross multiply
    46,778.40x = 64,543.68 × 27,912
  4. Step 4: Simplify right side
    46,778.40x = 1,801,543,196.16
  5. Step 5: Solve for x
    x = 1,801,543,196.16/46,778.40
  6. Step 6: Final answer
    x = 38,512.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.