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Finding the Fourth Proportional to 6,871.03, 9,489.76 and 4,642.11

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Solution

The fourth proportional to 6,871.03, 9,489.76 and 4,642.11 is: 6,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.03 : 9,489.76 = 4,642.11 : x
  2. Step 2: Convert to fraction form
    6,871.03/9,489.76 = 4,642.11/x
  3. Step 3: Cross multiply
    6,871.03x = 9,489.76 × 4,642.11
  4. Step 4: Simplify right side
    6,871.03x = 44,052,498.19
  5. Step 5: Solve for x
    x = 44,052,498.19/6,871.03
  6. Step 6: Final answer
    x = 6,411.34

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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.