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Finding the Fourth Proportional to 9,803.84, 13,528.90 and 5,327.50

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Solution

The fourth proportional to 9,803.84, 13,528.90 and 5,327.50 is: 7,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.84 : 13,528.90 = 5,327.50 : x
  2. Step 2: Convert to fraction form
    9,803.84/13,528.90 = 5,327.50/x
  3. Step 3: Cross multiply
    9,803.84x = 13,528.90 × 5,327.50
  4. Step 4: Simplify right side
    9,803.84x = 72,075,214.75
  5. Step 5: Solve for x
    x = 72,075,214.75/9,803.84
  6. Step 6: Final answer
    x = 7,351.73

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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.