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Finding the Fourth Proportional to 12,783.70, 19,153.65 and 10,159.30

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Solution

The fourth proportional to 12,783.70, 19,153.65 and 10,159.30 is: 15,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.70 : 19,153.65 = 10,159.30 : x
  2. Step 2: Convert to fraction form
    12,783.70/19,153.65 = 10,159.30/x
  3. Step 3: Cross multiply
    12,783.70x = 19,153.65 × 10,159.30
  4. Step 4: Simplify right side
    12,783.70x = 194,587,676.45
  5. Step 5: Solve for x
    x = 194,587,676.45/12,783.70
  6. Step 6: Final answer
    x = 15,221.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.