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Finding the Fourth Proportional to 11,783.58, 16,254.10 and 8,420.58

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Solution

The fourth proportional to 11,783.58, 16,254.10 and 8,420.58 is: 11,615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.58 : 16,254.10 = 8,420.58 : x
  2. Step 2: Convert to fraction form
    11,783.58/16,254.10 = 8,420.58/x
  3. Step 3: Cross multiply
    11,783.58x = 16,254.10 × 8,420.58
  4. Step 4: Simplify right side
    11,783.58x = 136,868,968.96
  5. Step 5: Solve for x
    x = 136,868,968.96/11,783.58
  6. Step 6: Final answer
    x = 11,615.23

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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.