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Finding the Fourth Proportional to 4,057.76, 5,599.76 and 2,289.20

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Solution

The fourth proportional to 4,057.76, 5,599.76 and 2,289.20 is: 3,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.76 : 5,599.76 = 2,289.20 : x
  2. Step 2: Convert to fraction form
    4,057.76/5,599.76 = 2,289.20/x
  3. Step 3: Cross multiply
    4,057.76x = 5,599.76 × 2,289.20
  4. Step 4: Simplify right side
    4,057.76x = 12,818,970.59
  5. Step 5: Solve for x
    x = 12,818,970.59/4,057.76
  6. Step 6: Final answer
    x = 3,159.12

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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.