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Finding the Fourth Proportional to 39,977, 59,899.88 and 13,667.38

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Solution

The fourth proportional to 39,977, 59,899.88 and 13,667.38 is: 20,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,977 : 59,899.88 = 13,667.38 : x
  2. Step 2: Convert to fraction form
    39,977/59,899.88 = 13,667.38/x
  3. Step 3: Cross multiply
    39,977x = 59,899.88 × 13,667.38
  4. Step 4: Simplify right side
    39,977x = 818,674,421.91
  5. Step 5: Solve for x
    x = 818,674,421.91/39,977
  6. Step 6: Final answer
    x = 20,478.64

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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.