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Finding the Fourth Proportional to 5,689.80, 8,534.70 and 5,209.80

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Solution

The fourth proportional to 5,689.80, 8,534.70 and 5,209.80 is: 7,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.80 : 8,534.70 = 5,209.80 : x
  2. Step 2: Convert to fraction form
    5,689.80/8,534.70 = 5,209.80/x
  3. Step 3: Cross multiply
    5,689.80x = 8,534.70 × 5,209.80
  4. Step 4: Simplify right side
    5,689.80x = 44,464,080.06
  5. Step 5: Solve for x
    x = 44,464,080.06/5,689.80
  6. Step 6: Final answer
    x = 7,814.70

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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.