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Finding the Fourth Proportional to 8,430, 11,633.40 and 4,704

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Solution

The fourth proportional to 8,430, 11,633.40 and 4,704 is: 6,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430 : 11,633.40 = 4,704 : x
  2. Step 2: Convert to fraction form
    8,430/11,633.40 = 4,704/x
  3. Step 3: Cross multiply
    8,430x = 11,633.40 × 4,704
  4. Step 4: Simplify right side
    8,430x = 54,723,513.60
  5. Step 5: Solve for x
    x = 54,723,513.60/8,430
  6. Step 6: Final answer
    x = 6,491.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.