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Finding the Fourth Proportional to 56,006.76, 84,015 and 20,477.82

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Solution

The fourth proportional to 56,006.76, 84,015 and 20,477.82 is: 30,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,006.76 : 84,015 = 20,477.82 : x
  2. Step 2: Convert to fraction form
    56,006.76/84,015 = 20,477.82/x
  3. Step 3: Cross multiply
    56,006.76x = 84,015 × 20,477.82
  4. Step 4: Simplify right side
    56,006.76x = 1,720,444,047.30
  5. Step 5: Solve for x
    x = 1,720,444,047.30/56,006.76
  6. Step 6: Final answer
    x = 30,718.51

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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.