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Finding the Fourth Proportional to 7,804.56, 10,761.06 and 6,307.83

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Solution

The fourth proportional to 7,804.56, 10,761.06 and 6,307.83 is: 8,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.56 : 10,761.06 = 6,307.83 : x
  2. Step 2: Convert to fraction form
    7,804.56/10,761.06 = 6,307.83/x
  3. Step 3: Cross multiply
    7,804.56x = 10,761.06 × 6,307.83
  4. Step 4: Simplify right side
    7,804.56x = 67,878,937.10
  5. Step 5: Solve for x
    x = 67,878,937.10/7,804.56
  6. Step 6: Final answer
    x = 8,697.34

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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.