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Finding the Fourth Proportional to 9,706.12, 14,557.56 and 2,779

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Solution

The fourth proportional to 9,706.12, 14,557.56 and 2,779 is: 4,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.12 : 14,557.56 = 2,779 : x
  2. Step 2: Convert to fraction form
    9,706.12/14,557.56 = 2,779/x
  3. Step 3: Cross multiply
    9,706.12x = 14,557.56 × 2,779
  4. Step 4: Simplify right side
    9,706.12x = 40,455,459.24
  5. Step 5: Solve for x
    x = 40,455,459.24/9,706.12
  6. Step 6: Final answer
    x = 4,168.04

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Double scale
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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.