Home / 4,657-6,986.30-2,024.36

Finding the Fourth Proportional to 4,657, 6,986.30 and 2,024.36

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Solution

The fourth proportional to 4,657, 6,986.30 and 2,024.36 is: 3,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657 : 6,986.30 = 2,024.36 : x
  2. Step 2: Convert to fraction form
    4,657/6,986.30 = 2,024.36/x
  3. Step 3: Cross multiply
    4,657x = 6,986.30 × 2,024.36
  4. Step 4: Simplify right side
    4,657x = 14,142,786.27
  5. Step 5: Solve for x
    x = 14,142,786.27/4,657
  6. Step 6: Final answer
    x = 3,036.89

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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.