Home / 4,770.64-7,156.16-1,307.84

Finding the Fourth Proportional to 4,770.64, 7,156.16 and 1,307.84

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Solution

The fourth proportional to 4,770.64, 7,156.16 and 1,307.84 is: 1,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.64 : 7,156.16 = 1,307.84 : x
  2. Step 2: Convert to fraction form
    4,770.64/7,156.16 = 1,307.84/x
  3. Step 3: Cross multiply
    4,770.64x = 7,156.16 × 1,307.84
  4. Step 4: Simplify right side
    4,770.64x = 9,359,112.29
  5. Step 5: Solve for x
    x = 9,359,112.29/4,770.64
  6. Step 6: Final answer
    x = 1,961.81

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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.