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Finding the Fourth Proportional to 25,308, 37,964.16 and 6,840

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Solution

The fourth proportional to 25,308, 37,964.16 and 6,840 is: 10,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,308 : 37,964.16 = 6,840 : x
  2. Step 2: Convert to fraction form
    25,308/37,964.16 = 6,840/x
  3. Step 3: Cross multiply
    25,308x = 37,964.16 × 6,840
  4. Step 4: Simplify right side
    25,308x = 259,674,854.40
  5. Step 5: Solve for x
    x = 259,674,854.40/25,308
  6. Step 6: Final answer
    x = 10,260.58

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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.