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Finding the Fourth Proportional to 7,146.36, 9,858.68 and 4,629.31

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Solution

The fourth proportional to 7,146.36, 9,858.68 and 4,629.31 is: 6,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.36 : 9,858.68 = 4,629.31 : x
  2. Step 2: Convert to fraction form
    7,146.36/9,858.68 = 4,629.31/x
  3. Step 3: Cross multiply
    7,146.36x = 9,858.68 × 4,629.31
  4. Step 4: Simplify right side
    7,146.36x = 45,638,885.91
  5. Step 5: Solve for x
    x = 45,638,885.91/7,146.36
  6. Step 6: Final answer
    x = 6,386.31

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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.