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Finding the Fourth Proportional to 5,143.16, 7,670.86 and 5,054.30

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Solution

The fourth proportional to 5,143.16, 7,670.86 and 5,054.30 is: 7,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.16 : 7,670.86 = 5,054.30 : x
  2. Step 2: Convert to fraction form
    5,143.16/7,670.86 = 5,054.30/x
  3. Step 3: Cross multiply
    5,143.16x = 7,670.86 × 5,054.30
  4. Step 4: Simplify right side
    5,143.16x = 38,770,827.70
  5. Step 5: Solve for x
    x = 38,770,827.70/5,143.16
  6. Step 6: Final answer
    x = 7,538.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.