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Finding the Fourth Proportional to 10,783.76, 14,873.64 and 8,131.28

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Solution

The fourth proportional to 10,783.76, 14,873.64 and 8,131.28 is: 11,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.76 : 14,873.64 = 8,131.28 : x
  2. Step 2: Convert to fraction form
    10,783.76/14,873.64 = 8,131.28/x
  3. Step 3: Cross multiply
    10,783.76x = 14,873.64 × 8,131.28
  4. Step 4: Simplify right side
    10,783.76x = 120,941,731.46
  5. Step 5: Solve for x
    x = 120,941,731.46/10,783.76
  6. Step 6: Final answer
    x = 11,215.17

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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.