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Finding the Fourth Proportional to 9,705.36, 14,553.40 and 2,778

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Solution

The fourth proportional to 9,705.36, 14,553.40 and 2,778 is: 4,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.36 : 14,553.40 = 2,778 : x
  2. Step 2: Convert to fraction form
    9,705.36/14,553.40 = 2,778/x
  3. Step 3: Cross multiply
    9,705.36x = 14,553.40 × 2,778
  4. Step 4: Simplify right side
    9,705.36x = 40,429,345.20
  5. Step 5: Solve for x
    x = 40,429,345.20/9,705.36
  6. Step 6: Final answer
    x = 4,165.67

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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.