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Finding the Fourth Proportional to 8,369.34, 12,547.94 and 4,205.78

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Solution

The fourth proportional to 8,369.34, 12,547.94 and 4,205.78 is: 6,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.34 : 12,547.94 = 4,205.78 : x
  2. Step 2: Convert to fraction form
    8,369.34/12,547.94 = 4,205.78/x
  3. Step 3: Cross multiply
    8,369.34x = 12,547.94 × 4,205.78
  4. Step 4: Simplify right side
    8,369.34x = 52,773,875.09
  5. Step 5: Solve for x
    x = 52,773,875.09/8,369.34
  6. Step 6: Final answer
    x = 6,305.62

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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.