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Finding the Fourth Proportional to 4,700.45, 7,048.54 and 1,412.90

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Solution

The fourth proportional to 4,700.45, 7,048.54 and 1,412.90 is: 2,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.45 : 7,048.54 = 1,412.90 : x
  2. Step 2: Convert to fraction form
    4,700.45/7,048.54 = 1,412.90/x
  3. Step 3: Cross multiply
    4,700.45x = 7,048.54 × 1,412.90
  4. Step 4: Simplify right side
    4,700.45x = 9,958,882.17
  5. Step 5: Solve for x
    x = 9,958,882.17/4,700.45
  6. Step 6: Final answer
    x = 2,118.71

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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.