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Finding the Fourth Proportional to 7,118.80, 9,774.14 and 5,782.30

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Solution

The fourth proportional to 7,118.80, 9,774.14 and 5,782.30 is: 7,939.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.80 : 9,774.14 = 5,782.30 : x
  2. Step 2: Convert to fraction form
    7,118.80/9,774.14 = 5,782.30/x
  3. Step 3: Cross multiply
    7,118.80x = 9,774.14 × 5,782.30
  4. Step 4: Simplify right side
    7,118.80x = 56,517,009.72
  5. Step 5: Solve for x
    x = 56,517,009.72/7,118.80
  6. Step 6: Final answer
    x = 7,939.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.