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Finding the Fourth Proportional to 13,646.98, 18,833.94 and 7,678.30

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Solution

The fourth proportional to 13,646.98, 18,833.94 and 7,678.30 is: 10,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.98 : 18,833.94 = 7,678.30 : x
  2. Step 2: Convert to fraction form
    13,646.98/18,833.94 = 7,678.30/x
  3. Step 3: Cross multiply
    13,646.98x = 18,833.94 × 7,678.30
  4. Step 4: Simplify right side
    13,646.98x = 144,612,641.50
  5. Step 5: Solve for x
    x = 144,612,641.50/13,646.98
  6. Step 6: Final answer
    x = 10,596.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.