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Finding the Fourth Proportional to 5,420, 7,483.10 and 4,851.84

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Solution

The fourth proportional to 5,420, 7,483.10 and 4,851.84 is: 6,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420 : 7,483.10 = 4,851.84 : x
  2. Step 2: Convert to fraction form
    5,420/7,483.10 = 4,851.84/x
  3. Step 3: Cross multiply
    5,420x = 7,483.10 × 4,851.84
  4. Step 4: Simplify right side
    5,420x = 36,306,803.90
  5. Step 5: Solve for x
    x = 36,306,803.90/5,420
  6. Step 6: Final answer
    x = 6,698.67

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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.