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Finding the Fourth Proportional to 5,786.13, 7,980.02 and 3,547.19

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Solution

The fourth proportional to 5,786.13, 7,980.02 and 3,547.19 is: 4,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.13 : 7,980.02 = 3,547.19 : x
  2. Step 2: Convert to fraction form
    5,786.13/7,980.02 = 3,547.19/x
  3. Step 3: Cross multiply
    5,786.13x = 7,980.02 × 3,547.19
  4. Step 4: Simplify right side
    5,786.13x = 28,306,662.66
  5. Step 5: Solve for x
    x = 28,306,662.66/5,786.13
  6. Step 6: Final answer
    x = 4,892.15

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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.