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Finding the Fourth Proportional to 7,028, 9,698.80 and 4,548.32

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Solution

The fourth proportional to 7,028, 9,698.80 and 4,548.32 is: 6,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028 : 9,698.80 = 4,548.32 : x
  2. Step 2: Convert to fraction form
    7,028/9,698.80 = 4,548.32/x
  3. Step 3: Cross multiply
    7,028x = 9,698.80 × 4,548.32
  4. Step 4: Simplify right side
    7,028x = 44,113,246.02
  5. Step 5: Solve for x
    x = 44,113,246.02/7,028
  6. Step 6: Final answer
    x = 6,276.79

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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.