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Finding the Fourth Proportional to 12,157.01, 16,760.02 and 7,678.52

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Solution

The fourth proportional to 12,157.01, 16,760.02 and 7,678.52 is: 10,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.01 : 16,760.02 = 7,678.52 : x
  2. Step 2: Convert to fraction form
    12,157.01/16,760.02 = 7,678.52/x
  3. Step 3: Cross multiply
    12,157.01x = 16,760.02 × 7,678.52
  4. Step 4: Simplify right side
    12,157.01x = 128,692,064.97
  5. Step 5: Solve for x
    x = 128,692,064.97/12,157.01
  6. Step 6: Final answer
    x = 10,585.84

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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.