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Finding the Fourth Proportional to 39,577, 59,365.50 and 11,875

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Solution

The fourth proportional to 39,577, 59,365.50 and 11,875 is: 17,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,577 : 59,365.50 = 11,875 : x
  2. Step 2: Convert to fraction form
    39,577/59,365.50 = 11,875/x
  3. Step 3: Cross multiply
    39,577x = 59,365.50 × 11,875
  4. Step 4: Simplify right side
    39,577x = 704,965,312.50
  5. Step 5: Solve for x
    x = 704,965,312.50/39,577
  6. Step 6: Final answer
    x = 17,812.50

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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.