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Finding the Fourth Proportional to 9,905, 14,859.06 and 4,709.12

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Solution

The fourth proportional to 9,905, 14,859.06 and 4,709.12 is: 7,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905 : 14,859.06 = 4,709.12 : x
  2. Step 2: Convert to fraction form
    9,905/14,859.06 = 4,709.12/x
  3. Step 3: Cross multiply
    9,905x = 14,859.06 × 4,709.12
  4. Step 4: Simplify right side
    9,905x = 69,973,096.63
  5. Step 5: Solve for x
    x = 69,973,096.63/9,905
  6. Step 6: Final answer
    x = 7,064.42

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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.