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Finding the Fourth Proportional to 12,783.90, 19,139.40 and 12,419.40

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Solution

The fourth proportional to 12,783.90, 19,139.40 and 12,419.40 is: 18,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.90 : 19,139.40 = 12,419.40 : x
  2. Step 2: Convert to fraction form
    12,783.90/19,139.40 = 12,419.40/x
  3. Step 3: Cross multiply
    12,783.90x = 19,139.40 × 12,419.40
  4. Step 4: Simplify right side
    12,783.90x = 237,699,864.36
  5. Step 5: Solve for x
    x = 237,699,864.36/12,783.90
  6. Step 6: Final answer
    x = 18,593.69

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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.