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Finding the Fourth Proportional to 7,638.58, 10,528.86 and 5,396.86

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Solution

The fourth proportional to 7,638.58, 10,528.86 and 5,396.86 is: 7,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.58 : 10,528.86 = 5,396.86 : x
  2. Step 2: Convert to fraction form
    7,638.58/10,528.86 = 5,396.86/x
  3. Step 3: Cross multiply
    7,638.58x = 10,528.86 × 5,396.86
  4. Step 4: Simplify right side
    7,638.58x = 56,822,783.38
  5. Step 5: Solve for x
    x = 56,822,783.38/7,638.58
  6. Step 6: Final answer
    x = 7,438.92

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Half scale
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Double scale
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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.