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Finding the Fourth Proportional to 42,015.70, 57,980.90 and 22,895.63

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Solution

The fourth proportional to 42,015.70, 57,980.90 and 22,895.63 is: 31,595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,015.70 : 57,980.90 = 22,895.63 : x
  2. Step 2: Convert to fraction form
    42,015.70/57,980.90 = 22,895.63/x
  3. Step 3: Cross multiply
    42,015.70x = 57,980.90 × 22,895.63
  4. Step 4: Simplify right side
    42,015.70x = 1,327,509,118.99
  5. Step 5: Solve for x
    x = 1,327,509,118.99/42,015.70
  6. Step 6: Final answer
    x = 31,595.55

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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.