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Finding the Fourth Proportional to 5,428.51, 7,484.10 and 4,313.14

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Solution

The fourth proportional to 5,428.51, 7,484.10 and 4,313.14 is: 5,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.51 : 7,484.10 = 4,313.14 : x
  2. Step 2: Convert to fraction form
    5,428.51/7,484.10 = 4,313.14/x
  3. Step 3: Cross multiply
    5,428.51x = 7,484.10 × 4,313.14
  4. Step 4: Simplify right side
    5,428.51x = 32,279,971.07
  5. Step 5: Solve for x
    x = 32,279,971.07/5,428.51
  6. Step 6: Final answer
    x = 5,946.38

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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.