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Finding the Fourth Proportional to 48,483.70, 72,727.26 and 13,426

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Solution

The fourth proportional to 48,483.70, 72,727.26 and 13,426 is: 20,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,483.70 : 72,727.26 = 13,426 : x
  2. Step 2: Convert to fraction form
    48,483.70/72,727.26 = 13,426/x
  3. Step 3: Cross multiply
    48,483.70x = 72,727.26 × 13,426
  4. Step 4: Simplify right side
    48,483.70x = 976,436,192.76
  5. Step 5: Solve for x
    x = 976,436,192.76/48,483.70
  6. Step 6: Final answer
    x = 20,139.47

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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.