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Finding the Fourth Proportional to 8,465, 12,697.51 and 2,309

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Solution

The fourth proportional to 8,465, 12,697.51 and 2,309 is: 3,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465 : 12,697.51 = 2,309 : x
  2. Step 2: Convert to fraction form
    8,465/12,697.51 = 2,309/x
  3. Step 3: Cross multiply
    8,465x = 12,697.51 × 2,309
  4. Step 4: Simplify right side
    8,465x = 29,318,550.59
  5. Step 5: Solve for x
    x = 29,318,550.59/8,465
  6. Step 6: Final answer
    x = 3,463.50

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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.