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Finding the Fourth Proportional to 2,355.57, 3,533.18 and 712.12

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Solution

The fourth proportional to 2,355.57, 3,533.18 and 712.12 is: 1,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.57 : 3,533.18 = 712.12 : x
  2. Step 2: Convert to fraction form
    2,355.57/3,533.18 = 712.12/x
  3. Step 3: Cross multiply
    2,355.57x = 3,533.18 × 712.12
  4. Step 4: Simplify right side
    2,355.57x = 2,516,048.14
  5. Step 5: Solve for x
    x = 2,516,048.14/2,355.57
  6. Step 6: Final answer
    x = 1,068.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.