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Finding the Fourth Proportional to 4,554, 6,284.40 and 2,564.76

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Solution

The fourth proportional to 4,554, 6,284.40 and 2,564.76 is: 3,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554 : 6,284.40 = 2,564.76 : x
  2. Step 2: Convert to fraction form
    4,554/6,284.40 = 2,564.76/x
  3. Step 3: Cross multiply
    4,554x = 6,284.40 × 2,564.76
  4. Step 4: Simplify right side
    4,554x = 16,117,977.74
  5. Step 5: Solve for x
    x = 16,117,977.74/4,554
  6. Step 6: Final answer
    x = 3,539.30

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Double scale
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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.