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Finding the Fourth Proportional to 19,409, 26,784.42 and 10,577

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Solution

The fourth proportional to 19,409, 26,784.42 and 10,577 is: 14,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409 : 26,784.42 = 10,577 : x
  2. Step 2: Convert to fraction form
    19,409/26,784.42 = 10,577/x
  3. Step 3: Cross multiply
    19,409x = 26,784.42 × 10,577
  4. Step 4: Simplify right side
    19,409x = 283,298,810.34
  5. Step 5: Solve for x
    x = 283,298,810.34/19,409
  6. Step 6: Final answer
    x = 14,596.26

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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.