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Finding the Fourth Proportional to 6,657, 9,186.54 and 4,005.84

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Solution

The fourth proportional to 6,657, 9,186.54 and 4,005.84 is: 5,527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657 : 9,186.54 = 4,005.84 : x
  2. Step 2: Convert to fraction form
    6,657/9,186.54 = 4,005.84/x
  3. Step 3: Cross multiply
    6,657x = 9,186.54 × 4,005.84
  4. Step 4: Simplify right side
    6,657x = 36,799,809.39
  5. Step 5: Solve for x
    x = 36,799,809.39/6,657
  6. Step 6: Final answer
    x = 5,527.99

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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.