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Finding the Fourth Proportional to 7,627.68, 11,377.68 and 6,381.12

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Solution

The fourth proportional to 7,627.68, 11,377.68 and 6,381.12 is: 9,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.68 : 11,377.68 = 6,381.12 : x
  2. Step 2: Convert to fraction form
    7,627.68/11,377.68 = 6,381.12/x
  3. Step 3: Cross multiply
    7,627.68x = 11,377.68 × 6,381.12
  4. Step 4: Simplify right side
    7,627.68x = 72,602,341.40
  5. Step 5: Solve for x
    x = 72,602,341.40/7,627.68
  6. Step 6: Final answer
    x = 9,518.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.