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Finding the Fourth Proportional to 9,784.20, 14,708.70 and 8,358.60

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Solution

The fourth proportional to 9,784.20, 14,708.70 and 8,358.60 is: 12,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.20 : 14,708.70 = 8,358.60 : x
  2. Step 2: Convert to fraction form
    9,784.20/14,708.70 = 8,358.60/x
  3. Step 3: Cross multiply
    9,784.20x = 14,708.70 × 8,358.60
  4. Step 4: Simplify right side
    9,784.20x = 122,944,139.82
  5. Step 5: Solve for x
    x = 122,944,139.82/9,784.20
  6. Step 6: Final answer
    x = 12,565.58

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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.