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Finding the Fourth Proportional to 30,771, 46,148.16 and 13,001.76

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Solution

The fourth proportional to 30,771, 46,148.16 and 13,001.76 is: 19,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771 : 46,148.16 = 13,001.76 : x
  2. Step 2: Convert to fraction form
    30,771/46,148.16 = 13,001.76/x
  3. Step 3: Cross multiply
    30,771x = 46,148.16 × 13,001.76
  4. Step 4: Simplify right side
    30,771x = 600,007,300.76
  5. Step 5: Solve for x
    x = 600,007,300.76/30,771
  6. Step 6: Final answer
    x = 19,499.12

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1.5x scale

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.