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Finding the Fourth Proportional to 9,803.98, 13,528.11 and 6,978.70

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Solution

The fourth proportional to 9,803.98, 13,528.11 and 6,978.70 is: 9,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.98 : 13,528.11 = 6,978.70 : x
  2. Step 2: Convert to fraction form
    9,803.98/13,528.11 = 6,978.70/x
  3. Step 3: Cross multiply
    9,803.98x = 13,528.11 × 6,978.70
  4. Step 4: Simplify right side
    9,803.98x = 94,408,621.26
  5. Step 5: Solve for x
    x = 94,408,621.26/9,803.98
  6. Step 6: Final answer
    x = 9,629.62

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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.