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Finding the Fourth Proportional to 7,196.68, 9,931.65 and 4,212.64

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Solution

The fourth proportional to 7,196.68, 9,931.65 and 4,212.64 is: 5,813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.68 : 9,931.65 = 4,212.64 : x
  2. Step 2: Convert to fraction form
    7,196.68/9,931.65 = 4,212.64/x
  3. Step 3: Cross multiply
    7,196.68x = 9,931.65 × 4,212.64
  4. Step 4: Simplify right side
    7,196.68x = 41,838,416.40
  5. Step 5: Solve for x
    x = 41,838,416.40/7,196.68
  6. Step 6: Final answer
    x = 5,813.58

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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.