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Finding the Fourth Proportional to 7,800.42, 11,706.80 and 3,638.30

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Solution

The fourth proportional to 7,800.42, 11,706.80 and 3,638.30 is: 5,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.42 : 11,706.80 = 3,638.30 : x
  2. Step 2: Convert to fraction form
    7,800.42/11,706.80 = 3,638.30/x
  3. Step 3: Cross multiply
    7,800.42x = 11,706.80 × 3,638.30
  4. Step 4: Simplify right side
    7,800.42x = 42,592,773.71
  5. Step 5: Solve for x
    x = 42,592,773.71/7,800.42
  6. Step 6: Final answer
    x = 5,460.32

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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.