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Finding the Fourth Proportional to 7,038, 10,558.80 and 2,421.12

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Solution

The fourth proportional to 7,038, 10,558.80 and 2,421.12 is: 3,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038 : 10,558.80 = 2,421.12 : x
  2. Step 2: Convert to fraction form
    7,038/10,558.80 = 2,421.12/x
  3. Step 3: Cross multiply
    7,038x = 10,558.80 × 2,421.12
  4. Step 4: Simplify right side
    7,038x = 25,564,121.86
  5. Step 5: Solve for x
    x = 25,564,121.86/7,038
  6. Step 6: Final answer
    x = 3,632.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.