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Finding the Fourth Proportional to 30,291, 45,436.68 and 10,569.48

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Solution

The fourth proportional to 30,291, 45,436.68 and 10,569.48 is: 15,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291 : 45,436.68 = 10,569.48 : x
  2. Step 2: Convert to fraction form
    30,291/45,436.68 = 10,569.48/x
  3. Step 3: Cross multiply
    30,291x = 45,436.68 × 10,569.48
  4. Step 4: Simplify right side
    30,291x = 480,242,080.53
  5. Step 5: Solve for x
    x = 480,242,080.53/30,291
  6. Step 6: Final answer
    x = 15,854.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.