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Finding the Fourth Proportional to 40,657, 60,995.40 and 12,955

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Solution

The fourth proportional to 40,657, 60,995.40 and 12,955 is: 19,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,657 : 60,995.40 = 12,955 : x
  2. Step 2: Convert to fraction form
    40,657/60,995.40 = 12,955/x
  3. Step 3: Cross multiply
    40,657x = 60,995.40 × 12,955
  4. Step 4: Simplify right side
    40,657x = 790,195,407
  5. Step 5: Solve for x
    x = 790,195,407/40,657
  6. Step 6: Final answer
    x = 19,435.65

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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.