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Finding the Fourth Proportional to 27,686.79, 41,530.77 and 9,918.60

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Solution

The fourth proportional to 27,686.79, 41,530.77 and 9,918.60 is: 14,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686.79 : 41,530.77 = 9,918.60 : x
  2. Step 2: Convert to fraction form
    27,686.79/41,530.77 = 9,918.60/x
  3. Step 3: Cross multiply
    27,686.79x = 41,530.77 × 9,918.60
  4. Step 4: Simplify right side
    27,686.79x = 411,927,095.32
  5. Step 5: Solve for x
    x = 411,927,095.32/27,686.79
  6. Step 6: Final answer
    x = 14,878.11

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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.