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Finding the Fourth Proportional to 14,314.69, 19,754.47 and 8,648.65

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Solution

The fourth proportional to 14,314.69, 19,754.47 and 8,648.65 is: 11,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.69 : 19,754.47 = 8,648.65 : x
  2. Step 2: Convert to fraction form
    14,314.69/19,754.47 = 8,648.65/x
  3. Step 3: Cross multiply
    14,314.69x = 19,754.47 × 8,648.65
  4. Step 4: Simplify right side
    14,314.69x = 170,849,398.19
  5. Step 5: Solve for x
    x = 170,849,398.19/14,314.69
  6. Step 6: Final answer
    x = 11,935.25

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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.