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Finding the Fourth Proportional to 10,292.68, 15,435.80 and 3,718

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Solution

The fourth proportional to 10,292.68, 15,435.80 and 3,718 is: 5,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.68 : 15,435.80 = 3,718 : x
  2. Step 2: Convert to fraction form
    10,292.68/15,435.80 = 3,718/x
  3. Step 3: Cross multiply
    10,292.68x = 15,435.80 × 3,718
  4. Step 4: Simplify right side
    10,292.68x = 57,390,304.40
  5. Step 5: Solve for x
    x = 57,390,304.40/10,292.68
  6. Step 6: Final answer
    x = 5,575.84

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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.