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Finding the Fourth Proportional to 5,412.64, 8,114.10 and 1,900.12

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Solution

The fourth proportional to 5,412.64, 8,114.10 and 1,900.12 is: 2,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.64 : 8,114.10 = 1,900.12 : x
  2. Step 2: Convert to fraction form
    5,412.64/8,114.10 = 1,900.12/x
  3. Step 3: Cross multiply
    5,412.64x = 8,114.10 × 1,900.12
  4. Step 4: Simplify right side
    5,412.64x = 15,417,763.69
  5. Step 5: Solve for x
    x = 15,417,763.69/5,412.64
  6. Step 6: Final answer
    x = 2,848.47

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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.