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Finding the Fourth Proportional to 7,805.64, 11,711.16 and 4,521.60

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Solution

The fourth proportional to 7,805.64, 11,711.16 and 4,521.60 is: 6,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.64 : 11,711.16 = 4,521.60 : x
  2. Step 2: Convert to fraction form
    7,805.64/11,711.16 = 4,521.60/x
  3. Step 3: Cross multiply
    7,805.64x = 11,711.16 × 4,521.60
  4. Step 4: Simplify right side
    7,805.64x = 52,953,181.06
  5. Step 5: Solve for x
    x = 52,953,181.06/7,805.64
  6. Step 6: Final answer
    x = 6,783.96

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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.