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Finding the Fourth Proportional to 27,106.86, 40,656.18 and 7,386.99

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Solution

The fourth proportional to 27,106.86, 40,656.18 and 7,386.99 is: 11,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,106.86 : 40,656.18 = 7,386.99 : x
  2. Step 2: Convert to fraction form
    27,106.86/40,656.18 = 7,386.99/x
  3. Step 3: Cross multiply
    27,106.86x = 40,656.18 × 7,386.99
  4. Step 4: Simplify right side
    27,106.86x = 300,326,795.10
  5. Step 5: Solve for x
    x = 300,326,795.10/27,106.86
  6. Step 6: Final answer
    x = 11,079.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.