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Finding the Fourth Proportional to 2,630.64, 3,948.24 and 1,533.52

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Solution

The fourth proportional to 2,630.64, 3,948.24 and 1,533.52 is: 2,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.64 : 3,948.24 = 1,533.52 : x
  2. Step 2: Convert to fraction form
    2,630.64/3,948.24 = 1,533.52/x
  3. Step 3: Cross multiply
    2,630.64x = 3,948.24 × 1,533.52
  4. Step 4: Simplify right side
    2,630.64x = 6,054,705.00
  5. Step 5: Solve for x
    x = 6,054,705.00/2,630.64
  6. Step 6: Final answer
    x = 2,301.61

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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.