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Finding the Fourth Proportional to 3,984, 5,492.64 and 3,482.08

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Solution

The fourth proportional to 3,984, 5,492.64 and 3,482.08 is: 4,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984 : 5,492.64 = 3,482.08 : x
  2. Step 2: Convert to fraction form
    3,984/5,492.64 = 3,482.08/x
  3. Step 3: Cross multiply
    3,984x = 5,492.64 × 3,482.08
  4. Step 4: Simplify right side
    3,984x = 19,125,811.89
  5. Step 5: Solve for x
    x = 19,125,811.89/3,984
  6. Step 6: Final answer
    x = 4,800.66

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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.