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Finding the Fourth Proportional to 10,740.68, 14,827.74 and 8,345.30

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Solution

The fourth proportional to 10,740.68, 14,827.74 and 8,345.30 is: 11,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740.68 : 14,827.74 = 8,345.30 : x
  2. Step 2: Convert to fraction form
    10,740.68/14,827.74 = 8,345.30/x
  3. Step 3: Cross multiply
    10,740.68x = 14,827.74 × 8,345.30
  4. Step 4: Simplify right side
    10,740.68x = 123,741,938.62
  5. Step 5: Solve for x
    x = 123,741,938.62/10,740.68
  6. Step 6: Final answer
    x = 11,520.87

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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.