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Finding the Fourth Proportional to 22,457.70, 30,992.40 and 12,386.45

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Solution

The fourth proportional to 22,457.70, 30,992.40 and 12,386.45 is: 17,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.70 : 30,992.40 = 12,386.45 : x
  2. Step 2: Convert to fraction form
    22,457.70/30,992.40 = 12,386.45/x
  3. Step 3: Cross multiply
    22,457.70x = 30,992.40 × 12,386.45
  4. Step 4: Simplify right side
    22,457.70x = 383,885,812.98
  5. Step 5: Solve for x
    x = 383,885,812.98/22,457.70
  6. Step 6: Final answer
    x = 17,093.73

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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.