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Finding the Fourth Proportional to 5,429, 7,492.62 and 3,071.12

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Solution

The fourth proportional to 5,429, 7,492.62 and 3,071.12 is: 4,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429 : 7,492.62 = 3,071.12 : x
  2. Step 2: Convert to fraction form
    5,429/7,492.62 = 3,071.12/x
  3. Step 3: Cross multiply
    5,429x = 7,492.62 × 3,071.12
  4. Step 4: Simplify right side
    5,429x = 23,010,735.13
  5. Step 5: Solve for x
    x = 23,010,735.13/5,429
  6. Step 6: Final answer
    x = 4,238.49

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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.