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Finding the Fourth Proportional to 10,565.78, 15,860.21 and 7,783.83

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Solution

The fourth proportional to 10,565.78, 15,860.21 and 7,783.83 is: 11,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.78 : 15,860.21 = 7,783.83 : x
  2. Step 2: Convert to fraction form
    10,565.78/15,860.21 = 7,783.83/x
  3. Step 3: Cross multiply
    10,565.78x = 15,860.21 × 7,783.83
  4. Step 4: Simplify right side
    10,565.78x = 123,453,139.49
  5. Step 5: Solve for x
    x = 123,453,139.49/10,565.78
  6. Step 6: Final answer
    x = 11,684.25

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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.