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Finding the Fourth Proportional to 8,265.63, 12,398.51 and 3,071.50

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Solution

The fourth proportional to 8,265.63, 12,398.51 and 3,071.50 is: 4,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.63 : 12,398.51 = 3,071.50 : x
  2. Step 2: Convert to fraction form
    8,265.63/12,398.51 = 3,071.50/x
  3. Step 3: Cross multiply
    8,265.63x = 12,398.51 × 3,071.50
  4. Step 4: Simplify right side
    8,265.63x = 38,082,023.47
  5. Step 5: Solve for x
    x = 38,082,023.47/8,265.63
  6. Step 6: Final answer
    x = 4,607.27

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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.