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Finding the Fourth Proportional to 12,715, 19,070.16 and 5,317.48

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Solution

The fourth proportional to 12,715, 19,070.16 and 5,317.48 is: 7,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715 : 19,070.16 = 5,317.48 : x
  2. Step 2: Convert to fraction form
    12,715/19,070.16 = 5,317.48/x
  3. Step 3: Cross multiply
    12,715x = 19,070.16 × 5,317.48
  4. Step 4: Simplify right side
    12,715x = 101,405,194.40
  5. Step 5: Solve for x
    x = 101,405,194.40/12,715
  6. Step 6: Final answer
    x = 7,975.24

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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.