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Finding the Fourth Proportional to 18,565.34, 27,848.32 and 5,417.63

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Solution

The fourth proportional to 18,565.34, 27,848.32 and 5,417.63 is: 8,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.34 : 27,848.32 = 5,417.63 : x
  2. Step 2: Convert to fraction form
    18,565.34/27,848.32 = 5,417.63/x
  3. Step 3: Cross multiply
    18,565.34x = 27,848.32 × 5,417.63
  4. Step 4: Simplify right side
    18,565.34x = 150,871,741.10
  5. Step 5: Solve for x
    x = 150,871,741.10/18,565.34
  6. Step 6: Final answer
    x = 8,126.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.