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Finding the Fourth Proportional to 27,130, 37,436.24 and 15,801.98

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Solution

The fourth proportional to 27,130, 37,436.24 and 15,801.98 is: 21,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,130 : 37,436.24 = 15,801.98 : x
  2. Step 2: Convert to fraction form
    27,130/37,436.24 = 15,801.98/x
  3. Step 3: Cross multiply
    27,130x = 37,436.24 × 15,801.98
  4. Step 4: Simplify right side
    27,130x = 591,566,715.76
  5. Step 5: Solve for x
    x = 591,566,715.76/27,130
  6. Step 6: Final answer
    x = 21,804.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.