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Finding the Fourth Proportional to 12,779.60, 19,145.64 and 6,941.12

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Solution

The fourth proportional to 12,779.60, 19,145.64 and 6,941.12 is: 10,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.60 : 19,145.64 = 6,941.12 : x
  2. Step 2: Convert to fraction form
    12,779.60/19,145.64 = 6,941.12/x
  3. Step 3: Cross multiply
    12,779.60x = 19,145.64 × 6,941.12
  4. Step 4: Simplify right side
    12,779.60x = 132,892,184.72
  5. Step 5: Solve for x
    x = 132,892,184.72/12,779.60
  6. Step 6: Final answer
    x = 10,398.77

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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.