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Finding the Fourth Proportional to 7,898.96, 10,892.40 and 6,783.59

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Solution

The fourth proportional to 7,898.96, 10,892.40 and 6,783.59 is: 9,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.96 : 10,892.40 = 6,783.59 : x
  2. Step 2: Convert to fraction form
    7,898.96/10,892.40 = 6,783.59/x
  3. Step 3: Cross multiply
    7,898.96x = 10,892.40 × 6,783.59
  4. Step 4: Simplify right side
    7,898.96x = 73,889,575.72
  5. Step 5: Solve for x
    x = 73,889,575.72/7,898.96
  6. Step 6: Final answer
    x = 9,354.34

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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.