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Finding the Fourth Proportional to 4,776, 6,591.52 and 3,120.96

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Solution

The fourth proportional to 4,776, 6,591.52 and 3,120.96 is: 4,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776 : 6,591.52 = 3,120.96 : x
  2. Step 2: Convert to fraction form
    4,776/6,591.52 = 3,120.96/x
  3. Step 3: Cross multiply
    4,776x = 6,591.52 × 3,120.96
  4. Step 4: Simplify right side
    4,776x = 20,571,870.26
  5. Step 5: Solve for x
    x = 20,571,870.26/4,776
  6. Step 6: Final answer
    x = 4,307.34

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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.