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Finding the Fourth Proportional to 19,064, 28,607.52 and 8,120

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Solution

The fourth proportional to 19,064, 28,607.52 and 8,120 is: 12,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,064 : 28,607.52 = 8,120 : x
  2. Step 2: Convert to fraction form
    19,064/28,607.52 = 8,120/x
  3. Step 3: Cross multiply
    19,064x = 28,607.52 × 8,120
  4. Step 4: Simplify right side
    19,064x = 232,293,062.40
  5. Step 5: Solve for x
    x = 232,293,062.40/19,064
  6. Step 6: Final answer
    x = 12,184.91

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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.