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Finding the Fourth Proportional to 15,959, 23,938.50 and 4,271.93

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Solution

The fourth proportional to 15,959, 23,938.50 and 4,271.93 is: 6,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,959 : 23,938.50 = 4,271.93 : x
  2. Step 2: Convert to fraction form
    15,959/23,938.50 = 4,271.93/x
  3. Step 3: Cross multiply
    15,959x = 23,938.50 × 4,271.93
  4. Step 4: Simplify right side
    15,959x = 102,263,596.31
  5. Step 5: Solve for x
    x = 102,263,596.31/15,959
  6. Step 6: Final answer
    x = 6,407.90

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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.