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Finding the Fourth Proportional to 12,102, 16,700.76 and 7,136.88

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Solution

The fourth proportional to 12,102, 16,700.76 and 7,136.88 is: 9,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102 : 16,700.76 = 7,136.88 : x
  2. Step 2: Convert to fraction form
    12,102/16,700.76 = 7,136.88/x
  3. Step 3: Cross multiply
    12,102x = 16,700.76 × 7,136.88
  4. Step 4: Simplify right side
    12,102x = 119,191,320.03
  5. Step 5: Solve for x
    x = 119,191,320.03/12,102
  6. Step 6: Final answer
    x = 9,848.89

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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.