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Finding the Fourth Proportional to 51,980.96, 77,971.36 and 12,538.08

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Solution

The fourth proportional to 51,980.96, 77,971.36 and 12,538.08 is: 18,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,980.96 : 77,971.36 = 12,538.08 : x
  2. Step 2: Convert to fraction form
    51,980.96/77,971.36 = 12,538.08/x
  3. Step 3: Cross multiply
    51,980.96x = 77,971.36 × 12,538.08
  4. Step 4: Simplify right side
    51,980.96x = 977,611,149.39
  5. Step 5: Solve for x
    x = 977,611,149.39/51,980.96
  6. Step 6: Final answer
    x = 18,807.10

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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.