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Finding the Fourth Proportional to 8,038.10, 11,268.70 and 8,038.10

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Solution

The fourth proportional to 8,038.10, 11,268.70 and 8,038.10 is: 11,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.10 : 11,268.70 = 8,038.10 : x
  2. Step 2: Convert to fraction form
    8,038.10/11,268.70 = 8,038.10/x
  3. Step 3: Cross multiply
    8,038.10x = 11,268.70 × 8,038.10
  4. Step 4: Simplify right side
    8,038.10x = 90,578,937.47
  5. Step 5: Solve for x
    x = 90,578,937.47/8,038.10
  6. Step 6: Final answer
    x = 11,268.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.