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Finding the Fourth Proportional to 7,128, 9,836.64 and 4,644

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Solution

The fourth proportional to 7,128, 9,836.64 and 4,644 is: 6,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128 : 9,836.64 = 4,644 : x
  2. Step 2: Convert to fraction form
    7,128/9,836.64 = 4,644/x
  3. Step 3: Cross multiply
    7,128x = 9,836.64 × 4,644
  4. Step 4: Simplify right side
    7,128x = 45,681,356.16
  5. Step 5: Solve for x
    x = 45,681,356.16/7,128
  6. Step 6: Final answer
    x = 6,408.72

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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.