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Finding the Fourth Proportional to 7,830.40, 10,808.90 and 5,181.44

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Solution

The fourth proportional to 7,830.40, 10,808.90 and 5,181.44 is: 7,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.40 : 10,808.90 = 5,181.44 : x
  2. Step 2: Convert to fraction form
    7,830.40/10,808.90 = 5,181.44/x
  3. Step 3: Cross multiply
    7,830.40x = 10,808.90 × 5,181.44
  4. Step 4: Simplify right side
    7,830.40x = 56,005,666.82
  5. Step 5: Solve for x
    x = 56,005,666.82/7,830.40
  6. Step 6: Final answer
    x = 7,152.34

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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.