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Finding the Fourth Proportional to 7,810.86, 10,778.90 and 4,274.03

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Solution

The fourth proportional to 7,810.86, 10,778.90 and 4,274.03 is: 5,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.86 : 10,778.90 = 4,274.03 : x
  2. Step 2: Convert to fraction form
    7,810.86/10,778.90 = 4,274.03/x
  3. Step 3: Cross multiply
    7,810.86x = 10,778.90 × 4,274.03
  4. Step 4: Simplify right side
    7,810.86x = 46,069,341.97
  5. Step 5: Solve for x
    x = 46,069,341.97/7,810.86
  6. Step 6: Final answer
    x = 5,898.11

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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.