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Finding the Fourth Proportional to 12,886.99, 17,783.21 and 7,580.79

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Solution

The fourth proportional to 12,886.99, 17,783.21 and 7,580.79 is: 10,461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.99 : 17,783.21 = 7,580.79 : x
  2. Step 2: Convert to fraction form
    12,886.99/17,783.21 = 7,580.79/x
  3. Step 3: Cross multiply
    12,886.99x = 17,783.21 × 7,580.79
  4. Step 4: Simplify right side
    12,886.99x = 134,810,780.54
  5. Step 5: Solve for x
    x = 134,810,780.54/12,886.99
  6. Step 6: Final answer
    x = 10,461.00

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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.