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Finding the Fourth Proportional to 19,565, 26,999.74 and 11,181.48

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Solution

The fourth proportional to 19,565, 26,999.74 and 11,181.48 is: 15,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,565 : 26,999.74 = 11,181.48 : x
  2. Step 2: Convert to fraction form
    19,565/26,999.74 = 11,181.48/x
  3. Step 3: Cross multiply
    19,565x = 26,999.74 × 11,181.48
  4. Step 4: Simplify right side
    19,565x = 301,897,052.82
  5. Step 5: Solve for x
    x = 301,897,052.82/19,565
  6. Step 6: Final answer
    x = 15,430.47

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1.5x scale

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.