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Finding the Fourth Proportional to 13,002.76, 17,938.02 and 8,285.32

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Solution

The fourth proportional to 13,002.76, 17,938.02 and 8,285.32 is: 11,430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.76 : 17,938.02 = 8,285.32 : x
  2. Step 2: Convert to fraction form
    13,002.76/17,938.02 = 8,285.32/x
  3. Step 3: Cross multiply
    13,002.76x = 17,938.02 × 8,285.32
  4. Step 4: Simplify right side
    13,002.76x = 148,622,235.87
  5. Step 5: Solve for x
    x = 148,622,235.87/13,002.76
  6. Step 6: Final answer
    x = 11,430.05

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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.