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Finding the Fourth Proportional to 30,679.88, 46,009.96 and 9,898.52

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Solution

The fourth proportional to 30,679.88, 46,009.96 and 9,898.52 is: 14,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,679.88 : 46,009.96 = 9,898.52 : x
  2. Step 2: Convert to fraction form
    30,679.88/46,009.96 = 9,898.52/x
  3. Step 3: Cross multiply
    30,679.88x = 46,009.96 × 9,898.52
  4. Step 4: Simplify right side
    30,679.88x = 455,430,509.26
  5. Step 5: Solve for x
    x = 455,430,509.26/30,679.88
  6. Step 6: Final answer
    x = 14,844.60

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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.