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Finding the Fourth Proportional to 10,630.64, 14,663.84 and 6,648.48

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Solution

The fourth proportional to 10,630.64, 14,663.84 and 6,648.48 is: 9,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.64 : 14,663.84 = 6,648.48 : x
  2. Step 2: Convert to fraction form
    10,630.64/14,663.84 = 6,648.48/x
  3. Step 3: Cross multiply
    10,630.64x = 14,663.84 × 6,648.48
  4. Step 4: Simplify right side
    10,630.64x = 97,492,213.72
  5. Step 5: Solve for x
    x = 97,492,213.72/10,630.64
  6. Step 6: Final answer
    x = 9,170.87

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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.