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Finding the Fourth Proportional to 19,642.47, 27,106.23 and 10,690.17

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Solution

The fourth proportional to 19,642.47, 27,106.23 and 10,690.17 is: 14,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.47 : 27,106.23 = 10,690.17 : x
  2. Step 2: Convert to fraction form
    19,642.47/27,106.23 = 10,690.17/x
  3. Step 3: Cross multiply
    19,642.47x = 27,106.23 × 10,690.17
  4. Step 4: Simplify right side
    19,642.47x = 289,770,206.76
  5. Step 5: Solve for x
    x = 289,770,206.76/19,642.47
  6. Step 6: Final answer
    x = 14,752.23

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