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Finding the Fourth Proportional to 30,953, 42,715.90 and 19,009.56

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Solution

The fourth proportional to 30,953, 42,715.90 and 19,009.56 is: 26,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953 : 42,715.90 = 19,009.56 : x
  2. Step 2: Convert to fraction form
    30,953/42,715.90 = 19,009.56/x
  3. Step 3: Cross multiply
    30,953x = 42,715.90 × 19,009.56
  4. Step 4: Simplify right side
    30,953x = 812,010,464.00
  5. Step 5: Solve for x
    x = 812,010,464.00/30,953
  6. Step 6: Final answer
    x = 26,233.66

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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.