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Finding the Fourth Proportional to 15,603, 23,406.48 and 5,749.15

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Solution

The fourth proportional to 15,603, 23,406.48 and 5,749.15 is: 8,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,603 : 23,406.48 = 5,749.15 : x
  2. Step 2: Convert to fraction form
    15,603/23,406.48 = 5,749.15/x
  3. Step 3: Cross multiply
    15,603x = 23,406.48 × 5,749.15
  4. Step 4: Simplify right side
    15,603x = 134,567,364.49
  5. Step 5: Solve for x
    x = 134,567,364.49/15,603
  6. Step 6: Final answer
    x = 8,624.45

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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.