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Finding the Fourth Proportional to 19,706.74, 29,561.93 and 7,857.65

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Solution

The fourth proportional to 19,706.74, 29,561.93 and 7,857.65 is: 11,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.74 : 29,561.93 = 7,857.65 : x
  2. Step 2: Convert to fraction form
    19,706.74/29,561.93 = 7,857.65/x
  3. Step 3: Cross multiply
    19,706.74x = 29,561.93 × 7,857.65
  4. Step 4: Simplify right side
    19,706.74x = 232,287,259.98
  5. Step 5: Solve for x
    x = 232,287,259.98/19,706.74
  6. Step 6: Final answer
    x = 11,787.20

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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.