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Finding the Fourth Proportional to 43,688, 65,515.34 and 15,602.82

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Solution

The fourth proportional to 43,688, 65,515.34 and 15,602.82 is: 23,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,688 : 65,515.34 = 15,602.82 : x
  2. Step 2: Convert to fraction form
    43,688/65,515.34 = 15,602.82/x
  3. Step 3: Cross multiply
    43,688x = 65,515.34 × 15,602.82
  4. Step 4: Simplify right side
    43,688x = 1,022,224,057.26
  5. Step 5: Solve for x
    x = 1,022,224,057.26/43,688
  6. Step 6: Final answer
    x = 23,398.28

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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.