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Finding the Fourth Proportional to 30,588, 45,882 and 8,700

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Solution

The fourth proportional to 30,588, 45,882 and 8,700 is: 13,050

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588 : 45,882 = 8,700 : x
  2. Step 2: Convert to fraction form
    30,588/45,882 = 8,700/x
  3. Step 3: Cross multiply
    30,588x = 45,882 × 8,700
  4. Step 4: Simplify right side
    30,588x = 399,173,400
  5. Step 5: Solve for x
    x = 399,173,400/30,588
  6. Step 6: Final answer
    x = 13,050

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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.