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Finding the Fourth Proportional to 12,765.63, 19,062.39 and 10,430.22

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Solution

The fourth proportional to 12,765.63, 19,062.39 and 10,430.22 is: 15,575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.63 : 19,062.39 = 10,430.22 : x
  2. Step 2: Convert to fraction form
    12,765.63/19,062.39 = 10,430.22/x
  3. Step 3: Cross multiply
    12,765.63x = 19,062.39 × 10,430.22
  4. Step 4: Simplify right side
    12,765.63x = 198,824,921.43
  5. Step 5: Solve for x
    x = 198,824,921.43/12,765.63
  6. Step 6: Final answer
    x = 15,575.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.