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Finding the Fourth Proportional to 7,021.44, 9,688.32 and 4,536

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Solution

The fourth proportional to 7,021.44, 9,688.32 and 4,536 is: 6,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.44 : 9,688.32 = 4,536 : x
  2. Step 2: Convert to fraction form
    7,021.44/9,688.32 = 4,536/x
  3. Step 3: Cross multiply
    7,021.44x = 9,688.32 × 4,536
  4. Step 4: Simplify right side
    7,021.44x = 43,946,219.52
  5. Step 5: Solve for x
    x = 43,946,219.52/7,021.44
  6. Step 6: Final answer
    x = 6,258.86

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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.