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Finding the Fourth Proportional to 12,686.43, 19,051.43 and 7,784.85

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Solution

The fourth proportional to 12,686.43, 19,051.43 and 7,784.85 is: 11,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.43 : 19,051.43 = 7,784.85 : x
  2. Step 2: Convert to fraction form
    12,686.43/19,051.43 = 7,784.85/x
  3. Step 3: Cross multiply
    12,686.43x = 19,051.43 × 7,784.85
  4. Step 4: Simplify right side
    12,686.43x = 148,312,485.91
  5. Step 5: Solve for x
    x = 148,312,485.91/12,686.43
  6. Step 6: Final answer
    x = 11,690.64

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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.