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Finding the Fourth Proportional to 7,128.42, 9,839.93 and 6,381

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Solution

The fourth proportional to 7,128.42, 9,839.93 and 6,381 is: 8,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.42 : 9,839.93 = 6,381 : x
  2. Step 2: Convert to fraction form
    7,128.42/9,839.93 = 6,381/x
  3. Step 3: Cross multiply
    7,128.42x = 9,839.93 × 6,381
  4. Step 4: Simplify right side
    7,128.42x = 62,788,561.43
  5. Step 5: Solve for x
    x = 62,788,561.43/7,128.42
  6. Step 6: Final answer
    x = 8,808.20

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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.