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Finding the Fourth Proportional to 4,856.64, 7,284.80 and 1,393.60

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Solution

The fourth proportional to 4,856.64, 7,284.80 and 1,393.60 is: 2,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.64 : 7,284.80 = 1,393.60 : x
  2. Step 2: Convert to fraction form
    4,856.64/7,284.80 = 1,393.60/x
  3. Step 3: Cross multiply
    4,856.64x = 7,284.80 × 1,393.60
  4. Step 4: Simplify right side
    4,856.64x = 10,152,097.28
  5. Step 5: Solve for x
    x = 10,152,097.28/4,856.64
  6. Step 6: Final answer
    x = 2,090.35

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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.