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Finding the Fourth Proportional to 10,524.72, 14,520.72 and 6,988.64

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Solution

The fourth proportional to 10,524.72, 14,520.72 and 6,988.64 is: 9,642.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.72 : 14,520.72 = 6,988.64 : x
  2. Step 2: Convert to fraction form
    10,524.72/14,520.72 = 6,988.64/x
  3. Step 3: Cross multiply
    10,524.72x = 14,520.72 × 6,988.64
  4. Step 4: Simplify right side
    10,524.72x = 101,480,012.02
  5. Step 5: Solve for x
    x = 101,480,012.02/10,524.72
  6. Step 6: Final answer
    x = 9,642.06

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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.