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Finding the Fourth Proportional to 13,642.50, 18,826.74 and 7,674.12

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Solution

The fourth proportional to 13,642.50, 18,826.74 and 7,674.12 is: 10,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.50 : 18,826.74 = 7,674.12 : x
  2. Step 2: Convert to fraction form
    13,642.50/18,826.74 = 7,674.12/x
  3. Step 3: Cross multiply
    13,642.50x = 18,826.74 × 7,674.12
  4. Step 4: Simplify right side
    13,642.50x = 144,478,661.97
  5. Step 5: Solve for x
    x = 144,478,661.97/13,642.50
  6. Step 6: Final answer
    x = 10,590.34

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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.