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Finding the Fourth Proportional to 9,800.28, 14,696.30 and 4,602.50

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Solution

The fourth proportional to 9,800.28, 14,696.30 and 4,602.50 is: 6,901.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.28 : 14,696.30 = 4,602.50 : x
  2. Step 2: Convert to fraction form
    9,800.28/14,696.30 = 4,602.50/x
  3. Step 3: Cross multiply
    9,800.28x = 14,696.30 × 4,602.50
  4. Step 4: Simplify right side
    9,800.28x = 67,639,720.75
  5. Step 5: Solve for x
    x = 67,639,720.75/9,800.28
  6. Step 6: Final answer
    x = 6,901.82

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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.