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Finding the Fourth Proportional to 19,758.17, 29,655.79 and 10,405.10

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Solution

The fourth proportional to 19,758.17, 29,655.79 and 10,405.10 is: 15,617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.17 : 29,655.79 = 10,405.10 : x
  2. Step 2: Convert to fraction form
    19,758.17/29,655.79 = 10,405.10/x
  3. Step 3: Cross multiply
    19,758.17x = 29,655.79 × 10,405.10
  4. Step 4: Simplify right side
    19,758.17x = 308,571,508.66
  5. Step 5: Solve for x
    x = 308,571,508.66/19,758.17
  6. Step 6: Final answer
    x = 15,617.41

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1.5x scale

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.