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Finding the Fourth Proportional to 14,242.58, 19,651.41 and 8,270.71

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Solution

The fourth proportional to 14,242.58, 19,651.41 and 8,270.71 is: 11,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.58 : 19,651.41 = 8,270.71 : x
  2. Step 2: Convert to fraction form
    14,242.58/19,651.41 = 8,270.71/x
  3. Step 3: Cross multiply
    14,242.58x = 19,651.41 × 8,270.71
  4. Step 4: Simplify right side
    14,242.58x = 162,531,064.07
  5. Step 5: Solve for x
    x = 162,531,064.07/14,242.58
  6. Step 6: Final answer
    x = 11,411.63

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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.