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Finding the Fourth Proportional to 12,678.51, 19,020.65 and 6,834.99

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Solution

The fourth proportional to 12,678.51, 19,020.65 and 6,834.99 is: 10,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.51 : 19,020.65 = 6,834.99 : x
  2. Step 2: Convert to fraction form
    12,678.51/19,020.65 = 6,834.99/x
  3. Step 3: Cross multiply
    12,678.51x = 19,020.65 × 6,834.99
  4. Step 4: Simplify right side
    12,678.51x = 130,005,918.37
  5. Step 5: Solve for x
    x = 130,005,918.37/12,678.51
  6. Step 6: Final answer
    x = 10,254.04

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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.