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Finding the Fourth Proportional to 8,490, 12,675.30 and 7,257.84

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Solution

The fourth proportional to 8,490, 12,675.30 and 7,257.84 is: 10,835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490 : 12,675.30 = 7,257.84 : x
  2. Step 2: Convert to fraction form
    8,490/12,675.30 = 7,257.84/x
  3. Step 3: Cross multiply
    8,490x = 12,675.30 × 7,257.84
  4. Step 4: Simplify right side
    8,490x = 91,995,299.35
  5. Step 5: Solve for x
    x = 91,995,299.35/8,490
  6. Step 6: Final answer
    x = 10,835.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.