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Finding the Fourth Proportional to 6,203.86, 9,307.71 and 1,987.74

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Solution

The fourth proportional to 6,203.86, 9,307.71 and 1,987.74 is: 2,982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.86 : 9,307.71 = 1,987.74 : x
  2. Step 2: Convert to fraction form
    6,203.86/9,307.71 = 1,987.74/x
  3. Step 3: Cross multiply
    6,203.86x = 9,307.71 × 1,987.74
  4. Step 4: Simplify right side
    6,203.86x = 18,501,307.48
  5. Step 5: Solve for x
    x = 18,501,307.48/6,203.86
  6. Step 6: Final answer
    x = 2,982.23

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1.5x scale

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.