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Finding the Fourth Proportional to 10,477, 14,451.78 and 8,386.12

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Solution

The fourth proportional to 10,477, 14,451.78 and 8,386.12 is: 11,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477 : 14,451.78 = 8,386.12 : x
  2. Step 2: Convert to fraction form
    10,477/14,451.78 = 8,386.12/x
  3. Step 3: Cross multiply
    10,477x = 14,451.78 × 8,386.12
  4. Step 4: Simplify right side
    10,477x = 121,194,361.29
  5. Step 5: Solve for x
    x = 121,194,361.29/10,477
  6. Step 6: Final answer
    x = 11,567.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.