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Finding the Fourth Proportional to 57,884.12, 86,827.98 and 19,933

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Solution

The fourth proportional to 57,884.12, 86,827.98 and 19,933 is: 29,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,884.12 : 86,827.98 = 19,933 : x
  2. Step 2: Convert to fraction form
    57,884.12/86,827.98 = 19,933/x
  3. Step 3: Cross multiply
    57,884.12x = 86,827.98 × 19,933
  4. Step 4: Simplify right side
    57,884.12x = 1,730,742,125.34
  5. Step 5: Solve for x
    x = 1,730,742,125.34/57,884.12
  6. Step 6: Final answer
    x = 29,900.12

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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.