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Finding the Fourth Proportional to 9,955.71, 14,919.59 and 7,866.52

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Solution

The fourth proportional to 9,955.71, 14,919.59 and 7,866.52 is: 11,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.71 : 14,919.59 = 7,866.52 : x
  2. Step 2: Convert to fraction form
    9,955.71/14,919.59 = 7,866.52/x
  3. Step 3: Cross multiply
    9,955.71x = 14,919.59 × 7,866.52
  4. Step 4: Simplify right side
    9,955.71x = 117,365,235.49
  5. Step 5: Solve for x
    x = 117,365,235.49/9,955.71
  6. Step 6: Final answer
    x = 11,788.74

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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.