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Finding the Fourth Proportional to 11,705.10, 16,421.70 and 11,705.10

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Solution

The fourth proportional to 11,705.10, 16,421.70 and 11,705.10 is: 16,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.10 : 16,421.70 = 11,705.10 : x
  2. Step 2: Convert to fraction form
    11,705.10/16,421.70 = 11,705.10/x
  3. Step 3: Cross multiply
    11,705.10x = 16,421.70 × 11,705.10
  4. Step 4: Simplify right side
    11,705.10x = 192,217,640.67
  5. Step 5: Solve for x
    x = 192,217,640.67/11,705.10
  6. Step 6: Final answer
    x = 16,421.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.