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Finding the Fourth Proportional to 9,905, 14,838.96 and 4,968.86

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Solution

The fourth proportional to 9,905, 14,838.96 and 4,968.86 is: 7,443.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905 : 14,838.96 = 4,968.86 : x
  2. Step 2: Convert to fraction form
    9,905/14,838.96 = 4,968.86/x
  3. Step 3: Cross multiply
    9,905x = 14,838.96 × 4,968.86
  4. Step 4: Simplify right side
    9,905x = 73,732,714.79
  5. Step 5: Solve for x
    x = 73,732,714.79/9,905
  6. Step 6: Final answer
    x = 7,443.99

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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.