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Finding the Fourth Proportional to 9,771.60, 14,657.40 and 7,438.80

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Solution

The fourth proportional to 9,771.60, 14,657.40 and 7,438.80 is: 11,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.60 : 14,657.40 = 7,438.80 : x
  2. Step 2: Convert to fraction form
    9,771.60/14,657.40 = 7,438.80/x
  3. Step 3: Cross multiply
    9,771.60x = 14,657.40 × 7,438.80
  4. Step 4: Simplify right side
    9,771.60x = 109,033,467.12
  5. Step 5: Solve for x
    x = 109,033,467.12/9,771.60
  6. Step 6: Final answer
    x = 11,158.20

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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.