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Finding the Fourth Proportional to 4,762.16, 7,143.02 and 1,299.42

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Solution

The fourth proportional to 4,762.16, 7,143.02 and 1,299.42 is: 1,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.16 : 7,143.02 = 1,299.42 : x
  2. Step 2: Convert to fraction form
    4,762.16/7,143.02 = 1,299.42/x
  3. Step 3: Cross multiply
    4,762.16x = 7,143.02 × 1,299.42
  4. Step 4: Simplify right side
    4,762.16x = 9,281,783.05
  5. Step 5: Solve for x
    x = 9,281,783.05/4,762.16
  6. Step 6: Final answer
    x = 1,949.07

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1.5x scale

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.