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Finding the Fourth Proportional to 30,458, 42,032.04 and 17,210

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Solution

The fourth proportional to 30,458, 42,032.04 and 17,210 is: 23,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458 : 42,032.04 = 17,210 : x
  2. Step 2: Convert to fraction form
    30,458/42,032.04 = 17,210/x
  3. Step 3: Cross multiply
    30,458x = 42,032.04 × 17,210
  4. Step 4: Simplify right side
    30,458x = 723,371,408.40
  5. Step 5: Solve for x
    x = 723,371,408.40/30,458
  6. Step 6: Final answer
    x = 23,749.80

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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.