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Finding the Fourth Proportional to 35,607, 49,141.98 and 20,703

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Solution

The fourth proportional to 35,607, 49,141.98 and 20,703 is: 28,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,607 : 49,141.98 = 20,703 : x
  2. Step 2: Convert to fraction form
    35,607/49,141.98 = 20,703/x
  3. Step 3: Cross multiply
    35,607x = 49,141.98 × 20,703
  4. Step 4: Simplify right side
    35,607x = 1,017,386,411.94
  5. Step 5: Solve for x
    x = 1,017,386,411.94/35,607
  6. Step 6: Final answer
    x = 28,572.65

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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.