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Finding the Fourth Proportional to 2,289.60, 3,412.80 and 2,073.60

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Solution

The fourth proportional to 2,289.60, 3,412.80 and 2,073.60 is: 3,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.60 : 3,412.80 = 2,073.60 : x
  2. Step 2: Convert to fraction form
    2,289.60/3,412.80 = 2,073.60/x
  3. Step 3: Cross multiply
    2,289.60x = 3,412.80 × 2,073.60
  4. Step 4: Simplify right side
    2,289.60x = 7,076,782.08
  5. Step 5: Solve for x
    x = 7,076,782.08/2,289.60
  6. Step 6: Final answer
    x = 3,090.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.