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Finding the Fourth Proportional to 9,045.62, 12,489.04 and 5,647.80

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Solution

The fourth proportional to 9,045.62, 12,489.04 and 5,647.80 is: 7,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.62 : 12,489.04 = 5,647.80 : x
  2. Step 2: Convert to fraction form
    9,045.62/12,489.04 = 5,647.80/x
  3. Step 3: Cross multiply
    9,045.62x = 12,489.04 × 5,647.80
  4. Step 4: Simplify right side
    9,045.62x = 70,535,595.84
  5. Step 5: Solve for x
    x = 70,535,595.84/9,045.62
  6. Step 6: Final answer
    x = 7,797.77

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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.