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Finding the Fourth Proportional to 6,509.88, 8,984.19 and 3,677.78

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Solution

The fourth proportional to 6,509.88, 8,984.19 and 3,677.78 is: 5,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.88 : 8,984.19 = 3,677.78 : x
  2. Step 2: Convert to fraction form
    6,509.88/8,984.19 = 3,677.78/x
  3. Step 3: Cross multiply
    6,509.88x = 8,984.19 × 3,677.78
  4. Step 4: Simplify right side
    6,509.88x = 33,041,831.86
  5. Step 5: Solve for x
    x = 33,041,831.86/6,509.88
  6. Step 6: Final answer
    x = 5,075.64

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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.