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Finding the Fourth Proportional to 12,830.94, 19,239.12 and 5,035.50

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Solution

The fourth proportional to 12,830.94, 19,239.12 and 5,035.50 is: 7,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.94 : 19,239.12 = 5,035.50 : x
  2. Step 2: Convert to fraction form
    12,830.94/19,239.12 = 5,035.50/x
  3. Step 3: Cross multiply
    12,830.94x = 19,239.12 × 5,035.50
  4. Step 4: Simplify right side
    12,830.94x = 96,878,588.76
  5. Step 5: Solve for x
    x = 96,878,588.76/12,830.94
  6. Step 6: Final answer
    x = 7,550.39

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1.5x scale

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.