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Finding the Fourth Proportional to 5,415.60, 7,464.78 and 5,415.60

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Solution

The fourth proportional to 5,415.60, 7,464.78 and 5,415.60 is: 7,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.60 : 7,464.78 = 5,415.60 : x
  2. Step 2: Convert to fraction form
    5,415.60/7,464.78 = 5,415.60/x
  3. Step 3: Cross multiply
    5,415.60x = 7,464.78 × 5,415.60
  4. Step 4: Simplify right side
    5,415.60x = 40,426,262.57
  5. Step 5: Solve for x
    x = 40,426,262.57/5,415.60
  6. Step 6: Final answer
    x = 7,464.78

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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.