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Finding the Fourth Proportional to 40,895, 61,342.40 and 12,817.20

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Solution

The fourth proportional to 40,895, 61,342.40 and 12,817.20 is: 19,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,895 : 61,342.40 = 12,817.20 : x
  2. Step 2: Convert to fraction form
    40,895/61,342.40 = 12,817.20/x
  3. Step 3: Cross multiply
    40,895x = 61,342.40 × 12,817.20
  4. Step 4: Simplify right side
    40,895x = 786,237,809.28
  5. Step 5: Solve for x
    x = 786,237,809.28/40,895
  6. Step 6: Final answer
    x = 19,225.77

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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.