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Finding the Fourth Proportional to 7,076.37, 9,768.93 and 5,479.46

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Solution

The fourth proportional to 7,076.37, 9,768.93 and 5,479.46 is: 7,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.37 : 9,768.93 = 5,479.46 : x
  2. Step 2: Convert to fraction form
    7,076.37/9,768.93 = 5,479.46/x
  3. Step 3: Cross multiply
    7,076.37x = 9,768.93 × 5,479.46
  4. Step 4: Simplify right side
    7,076.37x = 53,528,461.18
  5. Step 5: Solve for x
    x = 53,528,461.18/7,076.37
  6. Step 6: Final answer
    x = 7,564.40

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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.