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Finding the Fourth Proportional to 28,252.50, 42,378.78 and 9,784.50

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Solution

The fourth proportional to 28,252.50, 42,378.78 and 9,784.50 is: 14,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,252.50 : 42,378.78 = 9,784.50 : x
  2. Step 2: Convert to fraction form
    28,252.50/42,378.78 = 9,784.50/x
  3. Step 3: Cross multiply
    28,252.50x = 42,378.78 × 9,784.50
  4. Step 4: Simplify right side
    28,252.50x = 414,655,172.91
  5. Step 5: Solve for x
    x = 414,655,172.91/28,252.50
  6. Step 6: Final answer
    x = 14,676.76

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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.