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Finding the Fourth Proportional to 9,803.61, 13,530.11 and 5,611.77

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Solution

The fourth proportional to 9,803.61, 13,530.11 and 5,611.77 is: 7,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.61 : 13,530.11 = 5,611.77 : x
  2. Step 2: Convert to fraction form
    9,803.61/13,530.11 = 5,611.77/x
  3. Step 3: Cross multiply
    9,803.61x = 13,530.11 × 5,611.77
  4. Step 4: Simplify right side
    9,803.61x = 75,927,837.34
  5. Step 5: Solve for x
    x = 75,927,837.34/9,803.61
  6. Step 6: Final answer
    x = 7,744.89

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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.