Home / 5,313-7,968.60-1,417.68

Finding the Fourth Proportional to 5,313, 7,968.60 and 1,417.68

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Solution

The fourth proportional to 5,313, 7,968.60 and 1,417.68 is: 2,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313 : 7,968.60 = 1,417.68 : x
  2. Step 2: Convert to fraction form
    5,313/7,968.60 = 1,417.68/x
  3. Step 3: Cross multiply
    5,313x = 7,968.60 × 1,417.68
  4. Step 4: Simplify right side
    5,313x = 11,296,924.85
  5. Step 5: Solve for x
    x = 11,296,924.85/5,313
  6. Step 6: Final answer
    x = 2,126.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.