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Finding the Fourth Proportional to 19,588.65, 29,387.84 and 9,188.25

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Solution

The fourth proportional to 19,588.65, 29,387.84 and 9,188.25 is: 13,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,588.65 : 29,387.84 = 9,188.25 : x
  2. Step 2: Convert to fraction form
    19,588.65/29,387.84 = 9,188.25/x
  3. Step 3: Cross multiply
    19,588.65x = 29,387.84 × 9,188.25
  4. Step 4: Simplify right side
    19,588.65x = 270,022,774.94
  5. Step 5: Solve for x
    x = 270,022,774.94/19,588.65
  6. Step 6: Final answer
    x = 13,784.65

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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.