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Finding the Fourth Proportional to 40,999, 61,497.42 and 11,415.64

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Solution

The fourth proportional to 40,999, 61,497.42 and 11,415.64 is: 17,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,999 : 61,497.42 = 11,415.64 : x
  2. Step 2: Convert to fraction form
    40,999/61,497.42 = 11,415.64/x
  3. Step 3: Cross multiply
    40,999x = 61,497.42 × 11,415.64
  4. Step 4: Simplify right side
    40,999x = 702,032,407.65
  5. Step 5: Solve for x
    x = 702,032,407.65/40,999
  6. Step 6: Final answer
    x = 17,123.16

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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.