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Finding the Fourth Proportional to 34,143, 51,220.26 and 14,430.84

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Solution

The fourth proportional to 34,143, 51,220.26 and 14,430.84 is: 21,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,143 : 51,220.26 = 14,430.84 : x
  2. Step 2: Convert to fraction form
    34,143/51,220.26 = 14,430.84/x
  3. Step 3: Cross multiply
    34,143x = 51,220.26 × 14,430.84
  4. Step 4: Simplify right side
    34,143x = 739,151,376.82
  5. Step 5: Solve for x
    x = 739,151,376.82/34,143
  6. Step 6: Final answer
    x = 21,648.69

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1.5x scale

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.