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Finding the Fourth Proportional to 6,852.60, 9,404.10 and 6,415.20

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Solution

The fourth proportional to 6,852.60, 9,404.10 and 6,415.20 is: 8,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.60 : 9,404.10 = 6,415.20 : x
  2. Step 2: Convert to fraction form
    6,852.60/9,404.10 = 6,415.20/x
  3. Step 3: Cross multiply
    6,852.60x = 9,404.10 × 6,415.20
  4. Step 4: Simplify right side
    6,852.60x = 60,329,182.32
  5. Step 5: Solve for x
    x = 60,329,182.32/6,852.60
  6. Step 6: Final answer
    x = 8,803.84

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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.