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Finding the Fourth Proportional to 7,889.48, 11,813.10 and 4,765.10

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Solution

The fourth proportional to 7,889.48, 11,813.10 and 4,765.10 is: 7,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.48 : 11,813.10 = 4,765.10 : x
  2. Step 2: Convert to fraction form
    7,889.48/11,813.10 = 4,765.10/x
  3. Step 3: Cross multiply
    7,889.48x = 11,813.10 × 4,765.10
  4. Step 4: Simplify right side
    7,889.48x = 56,290,602.81
  5. Step 5: Solve for x
    x = 56,290,602.81/7,889.48
  6. Step 6: Final answer
    x = 7,134.89

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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.