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Finding the Fourth Proportional to 39,987.48, 59,970.76 and 11,900

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Solution

The fourth proportional to 39,987.48, 59,970.76 and 11,900 is: 17,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,987.48 : 59,970.76 = 11,900 : x
  2. Step 2: Convert to fraction form
    39,987.48/59,970.76 = 11,900/x
  3. Step 3: Cross multiply
    39,987.48x = 59,970.76 × 11,900
  4. Step 4: Simplify right side
    39,987.48x = 713,652,044
  5. Step 5: Solve for x
    x = 713,652,044/39,987.48
  6. Step 6: Final answer
    x = 17,846.89

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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.