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Finding the Fourth Proportional to 6,320.78, 9,482.07 and 3,358.45

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Solution

The fourth proportional to 6,320.78, 9,482.07 and 3,358.45 is: 5,038.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.78 : 9,482.07 = 3,358.45 : x
  2. Step 2: Convert to fraction form
    6,320.78/9,482.07 = 3,358.45/x
  3. Step 3: Cross multiply
    6,320.78x = 9,482.07 × 3,358.45
  4. Step 4: Simplify right side
    6,320.78x = 31,845,109.11
  5. Step 5: Solve for x
    x = 31,845,109.11/6,320.78
  6. Step 6: Final answer
    x = 5,038.16

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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.