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Finding the Fourth Proportional to 7,389.78, 10,197.00 and 4,203.48

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Solution

The fourth proportional to 7,389.78, 10,197.00 and 4,203.48 is: 5,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.78 : 10,197.00 = 4,203.48 : x
  2. Step 2: Convert to fraction form
    7,389.78/10,197.00 = 4,203.48/x
  3. Step 3: Cross multiply
    7,389.78x = 10,197.00 × 4,203.48
  4. Step 4: Simplify right side
    7,389.78x = 42,862,915.37
  5. Step 5: Solve for x
    x = 42,862,915.37/7,389.78
  6. Step 6: Final answer
    x = 5,800.30

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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.