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Finding the Fourth Proportional to 8,380, 11,564.16 and 4,603

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Solution

The fourth proportional to 8,380, 11,564.16 and 4,603 is: 6,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380 : 11,564.16 = 4,603 : x
  2. Step 2: Convert to fraction form
    8,380/11,564.16 = 4,603/x
  3. Step 3: Cross multiply
    8,380x = 11,564.16 × 4,603
  4. Step 4: Simplify right side
    8,380x = 53,229,828.48
  5. Step 5: Solve for x
    x = 53,229,828.48/8,380
  6. Step 6: Final answer
    x = 6,352.01

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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.