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Finding the Fourth Proportional to 30,139.42, 45,202.95 and 11,413

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Solution

The fourth proportional to 30,139.42, 45,202.95 and 11,413 is: 17,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,139.42 : 45,202.95 = 11,413 : x
  2. Step 2: Convert to fraction form
    30,139.42/45,202.95 = 11,413/x
  3. Step 3: Cross multiply
    30,139.42x = 45,202.95 × 11,413
  4. Step 4: Simplify right side
    30,139.42x = 515,901,268.35
  5. Step 5: Solve for x
    x = 515,901,268.35/30,139.42
  6. Step 6: Final answer
    x = 17,117.16

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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.