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Finding the Fourth Proportional to 11,957.90, 17,899.94 and 7,788.93

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Solution

The fourth proportional to 11,957.90, 17,899.94 and 7,788.93 is: 11,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.90 : 17,899.94 = 7,788.93 : x
  2. Step 2: Convert to fraction form
    11,957.90/17,899.94 = 7,788.93/x
  3. Step 3: Cross multiply
    11,957.90x = 17,899.94 × 7,788.93
  4. Step 4: Simplify right side
    11,957.90x = 139,421,439.23
  5. Step 5: Solve for x
    x = 139,421,439.23/11,957.90
  6. Step 6: Final answer
    x = 11,659.35

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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.