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Finding the Fourth Proportional to 30,455, 45,436.81 and 27,130.76

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Solution

The fourth proportional to 30,455, 45,436.81 and 27,130.76 is: 40,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,455 : 45,436.81 = 27,130.76 : x
  2. Step 2: Convert to fraction form
    30,455/45,436.81 = 27,130.76/x
  3. Step 3: Cross multiply
    30,455x = 45,436.81 × 27,130.76
  4. Step 4: Simplify right side
    30,455x = 1,232,735,187.28
  5. Step 5: Solve for x
    x = 1,232,735,187.28/30,455
  6. Step 6: Final answer
    x = 40,477.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.