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Finding the Fourth Proportional to 6,551.20, 9,807.60 and 5,783.20

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Solution

The fourth proportional to 6,551.20, 9,807.60 and 5,783.20 is: 8,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.20 : 9,807.60 = 5,783.20 : x
  2. Step 2: Convert to fraction form
    6,551.20/9,807.60 = 5,783.20/x
  3. Step 3: Cross multiply
    6,551.20x = 9,807.60 × 5,783.20
  4. Step 4: Simplify right side
    6,551.20x = 56,719,312.32
  5. Step 5: Solve for x
    x = 56,719,312.32/6,551.20
  6. Step 6: Final answer
    x = 8,657.85

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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.