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Finding the Fourth Proportional to 7,077.96, 9,764.46 and 4,386.78

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Solution

The fourth proportional to 7,077.96, 9,764.46 and 4,386.78 is: 6,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.96 : 9,764.46 = 4,386.78 : x
  2. Step 2: Convert to fraction form
    7,077.96/9,764.46 = 4,386.78/x
  3. Step 3: Cross multiply
    7,077.96x = 9,764.46 × 4,386.78
  4. Step 4: Simplify right side
    7,077.96x = 42,834,537.84
  5. Step 5: Solve for x
    x = 42,834,537.84/7,077.96
  6. Step 6: Final answer
    x = 6,051.82

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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.