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Finding the Fourth Proportional to 9,783.84, 14,678.50 and 3,214.64

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Solution

The fourth proportional to 9,783.84, 14,678.50 and 3,214.64 is: 4,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.84 : 14,678.50 = 3,214.64 : x
  2. Step 2: Convert to fraction form
    9,783.84/14,678.50 = 3,214.64/x
  3. Step 3: Cross multiply
    9,783.84x = 14,678.50 × 3,214.64
  4. Step 4: Simplify right side
    9,783.84x = 47,186,093.24
  5. Step 5: Solve for x
    x = 47,186,093.24/9,783.84
  6. Step 6: Final answer
    x = 4,822.86

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1.5x scale

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.