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Finding the Fourth Proportional to 8,156.51, 12,233.08 and 5,153.64

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Solution

The fourth proportional to 8,156.51, 12,233.08 and 5,153.64 is: 7,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.51 : 12,233.08 = 5,153.64 : x
  2. Step 2: Convert to fraction form
    8,156.51/12,233.08 = 5,153.64/x
  3. Step 3: Cross multiply
    8,156.51x = 12,233.08 × 5,153.64
  4. Step 4: Simplify right side
    8,156.51x = 63,044,890.41
  5. Step 5: Solve for x
    x = 63,044,890.41/8,156.51
  6. Step 6: Final answer
    x = 7,729.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.