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Finding the Fourth Proportional to 5,148, 7,104.96 and 3,158.72

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Solution

The fourth proportional to 5,148, 7,104.96 and 3,158.72 is: 4,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148 : 7,104.96 = 3,158.72 : x
  2. Step 2: Convert to fraction form
    5,148/7,104.96 = 3,158.72/x
  3. Step 3: Cross multiply
    5,148x = 7,104.96 × 3,158.72
  4. Step 4: Simplify right side
    5,148x = 22,442,579.25
  5. Step 5: Solve for x
    x = 22,442,579.25/5,148
  6. Step 6: Final answer
    x = 4,359.48

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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.