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Finding the Fourth Proportional to 34,352, 47,405.76 and 19,448

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Solution

The fourth proportional to 34,352, 47,405.76 and 19,448 is: 26,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,352 : 47,405.76 = 19,448 : x
  2. Step 2: Convert to fraction form
    34,352/47,405.76 = 19,448/x
  3. Step 3: Cross multiply
    34,352x = 47,405.76 × 19,448
  4. Step 4: Simplify right side
    34,352x = 921,947,220.48
  5. Step 5: Solve for x
    x = 921,947,220.48/34,352
  6. Step 6: Final answer
    x = 26,838.24

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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.