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Finding the Fourth Proportional to 42,590.56, 63,895.56 and 13,012.60

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Solution

The fourth proportional to 42,590.56, 63,895.56 and 13,012.60 is: 19,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,590.56 : 63,895.56 = 13,012.60 : x
  2. Step 2: Convert to fraction form
    42,590.56/63,895.56 = 13,012.60/x
  3. Step 3: Cross multiply
    42,590.56x = 63,895.56 × 13,012.60
  4. Step 4: Simplify right side
    42,590.56x = 831,447,364.06
  5. Step 5: Solve for x
    x = 831,447,364.06/42,590.56
  6. Step 6: Final answer
    x = 19,521.87

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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.