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Finding the Fourth Proportional to 42,896.76, 64,342 and 13,313.80

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Solution

The fourth proportional to 42,896.76, 64,342 and 13,313.80 is: 19,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,896.76 : 64,342 = 13,313.80 : x
  2. Step 2: Convert to fraction form
    42,896.76/64,342 = 13,313.80/x
  3. Step 3: Cross multiply
    42,896.76x = 64,342 × 13,313.80
  4. Step 4: Simplify right side
    42,896.76x = 856,636,519.60
  5. Step 5: Solve for x
    x = 856,636,519.60/42,896.76
  6. Step 6: Final answer
    x = 19,969.73

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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.