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Finding the Fourth Proportional to 7,783, 10,740.54 and 4,246.29

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Solution

The fourth proportional to 7,783, 10,740.54 and 4,246.29 is: 5,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783 : 10,740.54 = 4,246.29 : x
  2. Step 2: Convert to fraction form
    7,783/10,740.54 = 4,246.29/x
  3. Step 3: Cross multiply
    7,783x = 10,740.54 × 4,246.29
  4. Step 4: Simplify right side
    7,783x = 45,607,420.75
  5. Step 5: Solve for x
    x = 45,607,420.75/7,783
  6. Step 6: Final answer
    x = 5,859.88

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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.