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Finding the Fourth Proportional to 9,648, 14,473.35 and 2,985.05

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Solution

The fourth proportional to 9,648, 14,473.35 and 2,985.05 is: 4,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648 : 14,473.35 = 2,985.05 : x
  2. Step 2: Convert to fraction form
    9,648/14,473.35 = 2,985.05/x
  3. Step 3: Cross multiply
    9,648x = 14,473.35 × 2,985.05
  4. Step 4: Simplify right side
    9,648x = 43,203,601.05
  5. Step 5: Solve for x
    x = 43,203,601.05/9,648
  6. Step 6: Final answer
    x = 4,477.99

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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.