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Finding the Fourth Proportional to 7,164.78, 9,885.02 and 4,333.02

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Solution

The fourth proportional to 7,164.78, 9,885.02 and 4,333.02 is: 5,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.78 : 9,885.02 = 4,333.02 : x
  2. Step 2: Convert to fraction form
    7,164.78/9,885.02 = 4,333.02/x
  3. Step 3: Cross multiply
    7,164.78x = 9,885.02 × 4,333.02
  4. Step 4: Simplify right side
    7,164.78x = 42,831,989.36
  5. Step 5: Solve for x
    x = 42,831,989.36/7,164.78
  6. Step 6: Final answer
    x = 5,978.13

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1.5x scale

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.