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Finding the Fourth Proportional to 7,119.39, 9,821.43 and 4,602.30

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Solution

The fourth proportional to 7,119.39, 9,821.43 and 4,602.30 is: 6,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.39 : 9,821.43 = 4,602.30 : x
  2. Step 2: Convert to fraction form
    7,119.39/9,821.43 = 4,602.30/x
  3. Step 3: Cross multiply
    7,119.39x = 9,821.43 × 4,602.30
  4. Step 4: Simplify right side
    7,119.39x = 45,201,167.29
  5. Step 5: Solve for x
    x = 45,201,167.29/7,119.39
  6. Step 6: Final answer
    x = 6,349.02

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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.