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Finding the Fourth Proportional to 5,841.80, 8,784.30 and 4,891.40

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Solution

The fourth proportional to 5,841.80, 8,784.30 and 4,891.40 is: 7,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.80 : 8,784.30 = 4,891.40 : x
  2. Step 2: Convert to fraction form
    5,841.80/8,784.30 = 4,891.40/x
  3. Step 3: Cross multiply
    5,841.80x = 8,784.30 × 4,891.40
  4. Step 4: Simplify right side
    5,841.80x = 42,967,525.02
  5. Step 5: Solve for x
    x = 42,967,525.02/5,841.80
  6. Step 6: Final answer
    x = 7,355.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.