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Finding the Fourth Proportional to 4,700.86, 6,486.33 and 3,021.70

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Solution

The fourth proportional to 4,700.86, 6,486.33 and 3,021.70 is: 4,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.86 : 6,486.33 = 3,021.70 : x
  2. Step 2: Convert to fraction form
    4,700.86/6,486.33 = 3,021.70/x
  3. Step 3: Cross multiply
    4,700.86x = 6,486.33 × 3,021.70
  4. Step 4: Simplify right side
    4,700.86x = 19,599,743.36
  5. Step 5: Solve for x
    x = 19,599,743.36/4,700.86
  6. Step 6: Final answer
    x = 4,169.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.