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Finding the Fourth Proportional to 51,580, 77,374.50 and 14,644

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Solution

The fourth proportional to 51,580, 77,374.50 and 14,644 is: 21,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,580 : 77,374.50 = 14,644 : x
  2. Step 2: Convert to fraction form
    51,580/77,374.50 = 14,644/x
  3. Step 3: Cross multiply
    51,580x = 77,374.50 × 14,644
  4. Step 4: Simplify right side
    51,580x = 1,133,072,178
  5. Step 5: Solve for x
    x = 1,133,072,178/51,580
  6. Step 6: Final answer
    x = 21,967.28

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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.