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Finding the Fourth Proportional to 12,134.71, 16,695.81 and 9,477.51

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Solution

The fourth proportional to 12,134.71, 16,695.81 and 9,477.51 is: 13,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.71 : 16,695.81 = 9,477.51 : x
  2. Step 2: Convert to fraction form
    12,134.71/16,695.81 = 9,477.51/x
  3. Step 3: Cross multiply
    12,134.71x = 16,695.81 × 9,477.51
  4. Step 4: Simplify right side
    12,134.71x = 158,234,706.23
  5. Step 5: Solve for x
    x = 158,234,706.23/12,134.71
  6. Step 6: Final answer
    x = 13,039.84

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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.