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Finding the Fourth Proportional to 8,303.56, 12,402.42 and 7,511.70

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Solution

The fourth proportional to 8,303.56, 12,402.42 and 7,511.70 is: 11,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.56 : 12,402.42 = 7,511.70 : x
  2. Step 2: Convert to fraction form
    8,303.56/12,402.42 = 7,511.70/x
  3. Step 3: Cross multiply
    8,303.56x = 12,402.42 × 7,511.70
  4. Step 4: Simplify right side
    8,303.56x = 93,163,258.31
  5. Step 5: Solve for x
    x = 93,163,258.31/8,303.56
  6. Step 6: Final answer
    x = 11,219.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.