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Finding the Fourth Proportional to 8,207, 12,302.30 and 7,589.18

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Solution

The fourth proportional to 8,207, 12,302.30 and 7,589.18 is: 11,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207 : 12,302.30 = 7,589.18 : x
  2. Step 2: Convert to fraction form
    8,207/12,302.30 = 7,589.18/x
  3. Step 3: Cross multiply
    8,207x = 12,302.30 × 7,589.18
  4. Step 4: Simplify right side
    8,207x = 93,364,369.11
  5. Step 5: Solve for x
    x = 93,364,369.11/8,207
  6. Step 6: Final answer
    x = 11,376.19

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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.