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Finding the Fourth Proportional to 19,026, 26,255.88 and 10,642.50

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Solution

The fourth proportional to 19,026, 26,255.88 and 10,642.50 is: 14,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,026 : 26,255.88 = 10,642.50 : x
  2. Step 2: Convert to fraction form
    19,026/26,255.88 = 10,642.50/x
  3. Step 3: Cross multiply
    19,026x = 26,255.88 × 10,642.50
  4. Step 4: Simplify right side
    19,026x = 279,428,202.90
  5. Step 5: Solve for x
    x = 279,428,202.90/19,026
  6. Step 6: Final answer
    x = 14,686.65

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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.