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Finding the Fourth Proportional to 7,894.16, 11,818.20 and 6,235.28

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Solution

The fourth proportional to 7,894.16, 11,818.20 and 6,235.28 is: 9,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.16 : 11,818.20 = 6,235.28 : x
  2. Step 2: Convert to fraction form
    7,894.16/11,818.20 = 6,235.28/x
  3. Step 3: Cross multiply
    7,894.16x = 11,818.20 × 6,235.28
  4. Step 4: Simplify right side
    7,894.16x = 73,689,786.10
  5. Step 5: Solve for x
    x = 73,689,786.10/7,894.16
  6. Step 6: Final answer
    x = 9,334.72

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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.