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Finding the Fourth Proportional to 2,178, 3,008.12 and 1,478.16

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Solution

The fourth proportional to 2,178, 3,008.12 and 1,478.16 is: 2,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178 : 3,008.12 = 1,478.16 : x
  2. Step 2: Convert to fraction form
    2,178/3,008.12 = 1,478.16/x
  3. Step 3: Cross multiply
    2,178x = 3,008.12 × 1,478.16
  4. Step 4: Simplify right side
    2,178x = 4,446,475.27
  5. Step 5: Solve for x
    x = 4,446,475.27/2,178
  6. Step 6: Final answer
    x = 2,041.54

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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.