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Finding the Fourth Proportional to 2,533, 3,495.54 and 1,602.76

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Solution

The fourth proportional to 2,533, 3,495.54 and 1,602.76 is: 2,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533 : 3,495.54 = 1,602.76 : x
  2. Step 2: Convert to fraction form
    2,533/3,495.54 = 1,602.76/x
  3. Step 3: Cross multiply
    2,533x = 3,495.54 × 1,602.76
  4. Step 4: Simplify right side
    2,533x = 5,602,511.69
  5. Step 5: Solve for x
    x = 5,602,511.69/2,533
  6. Step 6: Final answer
    x = 2,211.81

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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.