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Finding the Fourth Proportional to 12,888.63, 17,786 and 7,583.79

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Solution

The fourth proportional to 12,888.63, 17,786 and 7,583.79 is: 10,465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.63 : 17,786 = 7,583.79 : x
  2. Step 2: Convert to fraction form
    12,888.63/17,786 = 7,583.79/x
  3. Step 3: Cross multiply
    12,888.63x = 17,786 × 7,583.79
  4. Step 4: Simplify right side
    12,888.63x = 134,885,288.94
  5. Step 5: Solve for x
    x = 134,885,288.94/12,888.63
  6. Step 6: Final answer
    x = 10,465.45

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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.