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Finding the Fourth Proportional to 9,810.10, 13,515.06 and 6,820.75

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Solution

The fourth proportional to 9,810.10, 13,515.06 and 6,820.75 is: 9,396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.10 : 13,515.06 = 6,820.75 : x
  2. Step 2: Convert to fraction form
    9,810.10/13,515.06 = 6,820.75/x
  3. Step 3: Cross multiply
    9,810.10x = 13,515.06 × 6,820.75
  4. Step 4: Simplify right side
    9,810.10x = 92,182,845.50
  5. Step 5: Solve for x
    x = 92,182,845.50/9,810.10
  6. Step 6: Final answer
    x = 9,396.73

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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.