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Finding the Fourth Proportional to 9,784.78, 14,678.20 and 4,238.69

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Solution

The fourth proportional to 9,784.78, 14,678.20 and 4,238.69 is: 6,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.78 : 14,678.20 = 4,238.69 : x
  2. Step 2: Convert to fraction form
    9,784.78/14,678.20 = 4,238.69/x
  3. Step 3: Cross multiply
    9,784.78x = 14,678.20 × 4,238.69
  4. Step 4: Simplify right side
    9,784.78x = 62,216,244.97
  5. Step 5: Solve for x
    x = 62,216,244.97/9,784.78
  6. Step 6: Final answer
    x = 6,358.47

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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.