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Finding the Fourth Proportional to 22,478.94, 30,996.63 and 15,313.50

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Solution

The fourth proportional to 22,478.94, 30,996.63 and 15,313.50 is: 21,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.94 : 30,996.63 = 15,313.50 : x
  2. Step 2: Convert to fraction form
    22,478.94/30,996.63 = 15,313.50/x
  3. Step 3: Cross multiply
    22,478.94x = 30,996.63 × 15,313.50
  4. Step 4: Simplify right side
    22,478.94x = 474,666,893.51
  5. Step 5: Solve for x
    x = 474,666,893.51/22,478.94
  6. Step 6: Final answer
    x = 21,116.07

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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.