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Finding the Fourth Proportional to 7,476, 10,316.88 and 5,709.60

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Solution

The fourth proportional to 7,476, 10,316.88 and 5,709.60 is: 7,879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476 : 10,316.88 = 5,709.60 : x
  2. Step 2: Convert to fraction form
    7,476/10,316.88 = 5,709.60/x
  3. Step 3: Cross multiply
    7,476x = 10,316.88 × 5,709.60
  4. Step 4: Simplify right side
    7,476x = 58,905,258.05
  5. Step 5: Solve for x
    x = 58,905,258.05/7,476
  6. Step 6: Final answer
    x = 7,879.25

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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.