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Finding the Fourth Proportional to 15,585.45, 23,461.45 and 13,978

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Solution

The fourth proportional to 15,585.45, 23,461.45 and 13,978 is: 21,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.45 : 23,461.45 = 13,978 : x
  2. Step 2: Convert to fraction form
    15,585.45/23,461.45 = 13,978/x
  3. Step 3: Cross multiply
    15,585.45x = 23,461.45 × 13,978
  4. Step 4: Simplify right side
    15,585.45x = 327,944,148.10
  5. Step 5: Solve for x
    x = 327,944,148.10/15,585.45
  6. Step 6: Final answer
    x = 21,041.69

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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.