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Finding the Fourth Proportional to 25,343, 38,014.64 and 6,875

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Solution

The fourth proportional to 25,343, 38,014.64 and 6,875 is: 10,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,343 : 38,014.64 = 6,875 : x
  2. Step 2: Convert to fraction form
    25,343/38,014.64 = 6,875/x
  3. Step 3: Cross multiply
    25,343x = 38,014.64 × 6,875
  4. Step 4: Simplify right side
    25,343x = 261,350,650
  5. Step 5: Solve for x
    x = 261,350,650/25,343
  6. Step 6: Final answer
    x = 10,312.54

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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.