Home / 4,744.80-7,116.40-1,457

Finding the Fourth Proportional to 4,744.80, 7,116.40 and 1,457

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Solution

The fourth proportional to 4,744.80, 7,116.40 and 1,457 is: 2,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.80 : 7,116.40 = 1,457 : x
  2. Step 2: Convert to fraction form
    4,744.80/7,116.40 = 1,457/x
  3. Step 3: Cross multiply
    4,744.80x = 7,116.40 × 1,457
  4. Step 4: Simplify right side
    4,744.80x = 10,368,594.80
  5. Step 5: Solve for x
    x = 10,368,594.80/4,744.80
  6. Step 6: Final answer
    x = 2,185.25

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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.