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Finding the Fourth Proportional to 6,985.09, 9,641.47 and 4,154.46

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Solution

The fourth proportional to 6,985.09, 9,641.47 and 4,154.46 is: 5,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.09 : 9,641.47 = 4,154.46 : x
  2. Step 2: Convert to fraction form
    6,985.09/9,641.47 = 4,154.46/x
  3. Step 3: Cross multiply
    6,985.09x = 9,641.47 × 4,154.46
  4. Step 4: Simplify right side
    6,985.09x = 40,055,101.46
  5. Step 5: Solve for x
    x = 40,055,101.46/6,985.09
  6. Step 6: Final answer
    x = 5,734.37

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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.