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Finding the Fourth Proportional to 19,489.80, 26,878.26 and 12,773

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Solution

The fourth proportional to 19,489.80, 26,878.26 and 12,773 is: 17,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,489.80 : 26,878.26 = 12,773 : x
  2. Step 2: Convert to fraction form
    19,489.80/26,878.26 = 12,773/x
  3. Step 3: Cross multiply
    19,489.80x = 26,878.26 × 12,773
  4. Step 4: Simplify right side
    19,489.80x = 343,316,014.98
  5. Step 5: Solve for x
    x = 343,316,014.98/19,489.80
  6. Step 6: Final answer
    x = 17,615.16

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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.