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Finding the Fourth Proportional to 7,674.72, 11,512.08 and 4,210.08

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Solution

The fourth proportional to 7,674.72, 11,512.08 and 4,210.08 is: 6,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.72 : 11,512.08 = 4,210.08 : x
  2. Step 2: Convert to fraction form
    7,674.72/11,512.08 = 4,210.08/x
  3. Step 3: Cross multiply
    7,674.72x = 11,512.08 × 4,210.08
  4. Step 4: Simplify right side
    7,674.72x = 48,466,777.77
  5. Step 5: Solve for x
    x = 48,466,777.77/7,674.72
  6. Step 6: Final answer
    x = 6,315.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.