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Finding the Fourth Proportional to 26,420, 39,602.07 and 9,769.34

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Solution

The fourth proportional to 26,420, 39,602.07 and 9,769.34 is: 14,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,420 : 39,602.07 = 9,769.34 : x
  2. Step 2: Convert to fraction form
    26,420/39,602.07 = 9,769.34/x
  3. Step 3: Cross multiply
    26,420x = 39,602.07 × 9,769.34
  4. Step 4: Simplify right side
    26,420x = 386,886,086.53
  5. Step 5: Solve for x
    x = 386,886,086.53/26,420
  6. Step 6: Final answer
    x = 14,643.68

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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.