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Finding the Fourth Proportional to 7,800.66, 10,754.10 and 5,278.77

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Solution

The fourth proportional to 7,800.66, 10,754.10 and 5,278.77 is: 7,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.66 : 10,754.10 = 5,278.77 : x
  2. Step 2: Convert to fraction form
    7,800.66/10,754.10 = 5,278.77/x
  3. Step 3: Cross multiply
    7,800.66x = 10,754.10 × 5,278.77
  4. Step 4: Simplify right side
    7,800.66x = 56,768,420.46
  5. Step 5: Solve for x
    x = 56,768,420.46/7,800.66
  6. Step 6: Final answer
    x = 7,277.39

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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.