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Finding the Fourth Proportional to 6,430.32, 8,872.20 and 4,075.20

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Solution

The fourth proportional to 6,430.32, 8,872.20 and 4,075.20 is: 5,622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.32 : 8,872.20 = 4,075.20 : x
  2. Step 2: Convert to fraction form
    6,430.32/8,872.20 = 4,075.20/x
  3. Step 3: Cross multiply
    6,430.32x = 8,872.20 × 4,075.20
  4. Step 4: Simplify right side
    6,430.32x = 36,155,989.44
  5. Step 5: Solve for x
    x = 36,155,989.44/6,430.32
  6. Step 6: Final answer
    x = 5,622.74

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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.