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Finding the Fourth Proportional to 5,411.75, 8,075.75 and 4,828.55

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Solution

The fourth proportional to 5,411.75, 8,075.75 and 4,828.55 is: 7,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.75 : 8,075.75 = 4,828.55 : x
  2. Step 2: Convert to fraction form
    5,411.75/8,075.75 = 4,828.55/x
  3. Step 3: Cross multiply
    5,411.75x = 8,075.75 × 4,828.55
  4. Step 4: Simplify right side
    5,411.75x = 38,994,162.66
  5. Step 5: Solve for x
    x = 38,994,162.66/5,411.75
  6. Step 6: Final answer
    x = 7,205.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.