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Finding the Fourth Proportional to 4,971.07, 6,857.21 and 2,980.46

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Solution

The fourth proportional to 4,971.07, 6,857.21 and 2,980.46 is: 4,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.07 : 6,857.21 = 2,980.46 : x
  2. Step 2: Convert to fraction form
    4,971.07/6,857.21 = 2,980.46/x
  3. Step 3: Cross multiply
    4,971.07x = 6,857.21 × 2,980.46
  4. Step 4: Simplify right side
    4,971.07x = 20,437,647.95
  5. Step 5: Solve for x
    x = 20,437,647.95/4,971.07
  6. Step 6: Final answer
    x = 4,111.32

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1.5x scale

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.