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Finding the Fourth Proportional to 9,629.40, 14,400.90 and 8,074.20

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Solution

The fourth proportional to 9,629.40, 14,400.90 and 8,074.20 is: 12,075.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.40 : 14,400.90 = 8,074.20 : x
  2. Step 2: Convert to fraction form
    9,629.40/14,400.90 = 8,074.20/x
  3. Step 3: Cross multiply
    9,629.40x = 14,400.90 × 8,074.20
  4. Step 4: Simplify right side
    9,629.40x = 116,275,746.78
  5. Step 5: Solve for x
    x = 116,275,746.78/9,629.40
  6. Step 6: Final answer
    x = 12,075.08

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1.5x scale

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.