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Finding the Fourth Proportional to 30,186.72, 45,268.88 and 10,460

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Solution

The fourth proportional to 30,186.72, 45,268.88 and 10,460 is: 15,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186.72 : 45,268.88 = 10,460 : x
  2. Step 2: Convert to fraction form
    30,186.72/45,268.88 = 10,460/x
  3. Step 3: Cross multiply
    30,186.72x = 45,268.88 × 10,460
  4. Step 4: Simplify right side
    30,186.72x = 473,512,484.80
  5. Step 5: Solve for x
    x = 473,512,484.80/30,186.72
  6. Step 6: Final answer
    x = 15,686.12

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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.