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Finding the Fourth Proportional to 19,142, 26,415.48 and 10,644.14

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Solution

The fourth proportional to 19,142, 26,415.48 and 10,644.14 is: 14,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142 : 26,415.48 = 10,644.14 : x
  2. Step 2: Convert to fraction form
    19,142/26,415.48 = 10,644.14/x
  3. Step 3: Cross multiply
    19,142x = 26,415.48 × 10,644.14
  4. Step 4: Simplify right side
    19,142x = 281,170,067.29
  5. Step 5: Solve for x
    x = 281,170,067.29/19,142
  6. Step 6: Final answer
    x = 14,688.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.