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Finding the Fourth Proportional to 10,507.24, 14,520.89 and 8,615.89

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Solution

The fourth proportional to 10,507.24, 14,520.89 and 8,615.89 is: 11,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.24 : 14,520.89 = 8,615.89 : x
  2. Step 2: Convert to fraction form
    10,507.24/14,520.89 = 8,615.89/x
  3. Step 3: Cross multiply
    10,507.24x = 14,520.89 × 8,615.89
  4. Step 4: Simplify right side
    10,507.24x = 125,110,390.94
  5. Step 5: Solve for x
    x = 125,110,390.94/10,507.24
  6. Step 6: Final answer
    x = 11,907.07

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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.