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Finding the Fourth Proportional to 5,728.88, 7,909.62 and 4,400.18

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Solution

The fourth proportional to 5,728.88, 7,909.62 and 4,400.18 is: 6,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.88 : 7,909.62 = 4,400.18 : x
  2. Step 2: Convert to fraction form
    5,728.88/7,909.62 = 4,400.18/x
  3. Step 3: Cross multiply
    5,728.88x = 7,909.62 × 4,400.18
  4. Step 4: Simplify right side
    5,728.88x = 34,803,751.73
  5. Step 5: Solve for x
    x = 34,803,751.73/5,728.88
  6. Step 6: Final answer
    x = 6,075.14

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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.