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Finding the Fourth Proportional to 7,648, 10,554.88 and 4,336.64

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Solution

The fourth proportional to 7,648, 10,554.88 and 4,336.64 is: 5,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648 : 10,554.88 = 4,336.64 : x
  2. Step 2: Convert to fraction form
    7,648/10,554.88 = 4,336.64/x
  3. Step 3: Cross multiply
    7,648x = 10,554.88 × 4,336.64
  4. Step 4: Simplify right side
    7,648x = 45,772,714.80
  5. Step 5: Solve for x
    x = 45,772,714.80/7,648
  6. Step 6: Final answer
    x = 5,984.93

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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.