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Finding the Fourth Proportional to 9,045.12, 12,477.12 and 5,902.08

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Solution

The fourth proportional to 9,045.12, 12,477.12 and 5,902.08 is: 8,141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.12 : 12,477.12 = 5,902.08 : x
  2. Step 2: Convert to fraction form
    9,045.12/12,477.12 = 5,902.08/x
  3. Step 3: Cross multiply
    9,045.12x = 12,477.12 × 5,902.08
  4. Step 4: Simplify right side
    9,045.12x = 73,640,960.41
  5. Step 5: Solve for x
    x = 73,640,960.41/9,045.12
  6. Step 6: Final answer
    x = 8,141.51

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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.