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Finding the Fourth Proportional to 12,950.35, 17,870.92 and 7,285

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Solution

The fourth proportional to 12,950.35, 17,870.92 and 7,285 is: 10,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.35 : 17,870.92 = 7,285 : x
  2. Step 2: Convert to fraction form
    12,950.35/17,870.92 = 7,285/x
  3. Step 3: Cross multiply
    12,950.35x = 17,870.92 × 7,285
  4. Step 4: Simplify right side
    12,950.35x = 130,189,652.20
  5. Step 5: Solve for x
    x = 130,189,652.20/12,950.35
  6. Step 6: Final answer
    x = 10,052.98

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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.