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Finding the Fourth Proportional to 7,900.43, 11,848.10 and 4,392.11

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Solution

The fourth proportional to 7,900.43, 11,848.10 and 4,392.11 is: 6,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.43 : 11,848.10 = 4,392.11 : x
  2. Step 2: Convert to fraction form
    7,900.43/11,848.10 = 4,392.11/x
  3. Step 3: Cross multiply
    7,900.43x = 11,848.10 × 4,392.11
  4. Step 4: Simplify right side
    7,900.43x = 52,038,077.29
  5. Step 5: Solve for x
    x = 52,038,077.29/7,900.43
  6. Step 6: Final answer
    x = 6,586.74

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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.