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Finding the Fourth Proportional to 13,182.96, 19,777.40 and 4,417.65

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Solution

The fourth proportional to 13,182.96, 19,777.40 and 4,417.65 is: 6,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.96 : 19,777.40 = 4,417.65 : x
  2. Step 2: Convert to fraction form
    13,182.96/19,777.40 = 4,417.65/x
  3. Step 3: Cross multiply
    13,182.96x = 19,777.40 × 4,417.65
  4. Step 4: Simplify right side
    13,182.96x = 87,369,642.15
  5. Step 5: Solve for x
    x = 87,369,642.15/13,182.96
  6. Step 6: Final answer
    x = 6,627.47

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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.