Home / 13,142-19,703.28-7,946.72

Finding the Fourth Proportional to 13,142, 19,703.28 and 7,946.72

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Solution

The fourth proportional to 13,142, 19,703.28 and 7,946.72 is: 11,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142 : 19,703.28 = 7,946.72 : x
  2. Step 2: Convert to fraction form
    13,142/19,703.28 = 7,946.72/x
  3. Step 3: Cross multiply
    13,142x = 19,703.28 × 7,946.72
  4. Step 4: Simplify right side
    13,142x = 156,576,449.24
  5. Step 5: Solve for x
    x = 156,576,449.24/13,142
  6. Step 6: Final answer
    x = 11,914.20

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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.