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Finding the Fourth Proportional to 34,200.40, 51,271.80 and 17,784.40

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Solution

The fourth proportional to 34,200.40, 51,271.80 and 17,784.40 is: 26,661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,200.40 : 51,271.80 = 17,784.40 : x
  2. Step 2: Convert to fraction form
    34,200.40/51,271.80 = 17,784.40/x
  3. Step 3: Cross multiply
    34,200.40x = 51,271.80 × 17,784.40
  4. Step 4: Simplify right side
    34,200.40x = 911,838,199.92
  5. Step 5: Solve for x
    x = 911,838,199.92/34,200.40
  6. Step 6: Final answer
    x = 26,661.62

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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.