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Finding the Fourth Proportional to 39,970, 59,955 and 10,786

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Solution

The fourth proportional to 39,970, 59,955 and 10,786 is: 16,179

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,970 : 59,955 = 10,786 : x
  2. Step 2: Convert to fraction form
    39,970/59,955 = 10,786/x
  3. Step 3: Cross multiply
    39,970x = 59,955 × 10,786
  4. Step 4: Simplify right side
    39,970x = 646,674,630
  5. Step 5: Solve for x
    x = 646,674,630/39,970
  6. Step 6: Final answer
    x = 16,179

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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.