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Finding the Fourth Proportional to 28,936, 39,931.74 and 15,688

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Solution

The fourth proportional to 28,936, 39,931.74 and 15,688 is: 21,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,936 : 39,931.74 = 15,688 : x
  2. Step 2: Convert to fraction form
    28,936/39,931.74 = 15,688/x
  3. Step 3: Cross multiply
    28,936x = 39,931.74 × 15,688
  4. Step 4: Simplify right side
    28,936x = 626,449,137.12
  5. Step 5: Solve for x
    x = 626,449,137.12/28,936
  6. Step 6: Final answer
    x = 21,649.47

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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.