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Finding the Fourth Proportional to 27,978.30, 42,120.63 and 25,528.86

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Solution

The fourth proportional to 27,978.30, 42,120.63 and 25,528.86 is: 38,433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.30 : 42,120.63 = 25,528.86 : x
  2. Step 2: Convert to fraction form
    27,978.30/42,120.63 = 25,528.86/x
  3. Step 3: Cross multiply
    27,978.30x = 42,120.63 × 25,528.86
  4. Step 4: Simplify right side
    27,978.30x = 1,075,291,666.38
  5. Step 5: Solve for x
    x = 1,075,291,666.38/27,978.30
  6. Step 6: Final answer
    x = 38,433.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.