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Finding the Fourth Proportional to 7,810.54, 10,780.35 and 4,786.57

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Solution

The fourth proportional to 7,810.54, 10,780.35 and 4,786.57 is: 6,606.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.54 : 10,780.35 = 4,786.57 : x
  2. Step 2: Convert to fraction form
    7,810.54/10,780.35 = 4,786.57/x
  3. Step 3: Cross multiply
    7,810.54x = 10,780.35 × 4,786.57
  4. Step 4: Simplify right side
    7,810.54x = 51,600,899.90
  5. Step 5: Solve for x
    x = 51,600,899.90/7,810.54
  6. Step 6: Final answer
    x = 6,606.57

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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.