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Finding the Fourth Proportional to 6,670.93, 9,985.42 and 4,578.70

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Solution

The fourth proportional to 6,670.93, 9,985.42 and 4,578.70 is: 6,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.93 : 9,985.42 = 4,578.70 : x
  2. Step 2: Convert to fraction form
    6,670.93/9,985.42 = 4,578.70/x
  3. Step 3: Cross multiply
    6,670.93x = 9,985.42 × 4,578.70
  4. Step 4: Simplify right side
    6,670.93x = 45,720,242.55
  5. Step 5: Solve for x
    x = 45,720,242.55/6,670.93
  6. Step 6: Final answer
    x = 6,853.65

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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.