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Finding the Fourth Proportional to 30,420, 45,638.64 and 9,644.04

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Solution

The fourth proportional to 30,420, 45,638.64 and 9,644.04 is: 14,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420 : 45,638.64 = 9,644.04 : x
  2. Step 2: Convert to fraction form
    30,420/45,638.64 = 9,644.04/x
  3. Step 3: Cross multiply
    30,420x = 45,638.64 × 9,644.04
  4. Step 4: Simplify right side
    30,420x = 440,140,869.71
  5. Step 5: Solve for x
    x = 440,140,869.71/30,420
  6. Step 6: Final answer
    x = 14,468.80

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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.