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Finding the Fourth Proportional to 7,865.84, 10,860.48 and 4,885.76

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Solution

The fourth proportional to 7,865.84, 10,860.48 and 4,885.76 is: 6,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.84 : 10,860.48 = 4,885.76 : x
  2. Step 2: Convert to fraction form
    7,865.84/10,860.48 = 4,885.76/x
  3. Step 3: Cross multiply
    7,865.84x = 10,860.48 × 4,885.76
  4. Step 4: Simplify right side
    7,865.84x = 53,061,698.76
  5. Step 5: Solve for x
    x = 53,061,698.76/7,865.84
  6. Step 6: Final answer
    x = 6,745.84

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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.