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Finding the Fourth Proportional to 13,509.63, 18,643.05 and 7,542.72

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Solution

The fourth proportional to 13,509.63, 18,643.05 and 7,542.72 is: 10,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.63 : 18,643.05 = 7,542.72 : x
  2. Step 2: Convert to fraction form
    13,509.63/18,643.05 = 7,542.72/x
  3. Step 3: Cross multiply
    13,509.63x = 18,643.05 × 7,542.72
  4. Step 4: Simplify right side
    13,509.63x = 140,619,306.10
  5. Step 5: Solve for x
    x = 140,619,306.10/13,509.63
  6. Step 6: Final answer
    x = 10,408.82

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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.