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Finding the Fourth Proportional to 34,411, 47,487.90 and 19,507

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Solution

The fourth proportional to 34,411, 47,487.90 and 19,507 is: 26,920.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,411 : 47,487.90 = 19,507 : x
  2. Step 2: Convert to fraction form
    34,411/47,487.90 = 19,507/x
  3. Step 3: Cross multiply
    34,411x = 47,487.90 × 19,507
  4. Step 4: Simplify right side
    34,411x = 926,346,465.30
  5. Step 5: Solve for x
    x = 926,346,465.30/34,411
  6. Step 6: Final answer
    x = 26,920.07

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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.