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Finding the Fourth Proportional to 7,003.85, 9,665.35 and 4,019.60

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Solution

The fourth proportional to 7,003.85, 9,665.35 and 4,019.60 is: 5,547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.85 : 9,665.35 = 4,019.60 : x
  2. Step 2: Convert to fraction form
    7,003.85/9,665.35 = 4,019.60/x
  3. Step 3: Cross multiply
    7,003.85x = 9,665.35 × 4,019.60
  4. Step 4: Simplify right side
    7,003.85x = 38,850,854.97
  5. Step 5: Solve for x
    x = 38,850,854.97/7,003.85
  6. Step 6: Final answer
    x = 5,547.08

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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.