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Finding the Fourth Proportional to 30,970.65, 46,221.93 and 27,981.30

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Solution

The fourth proportional to 30,970.65, 46,221.93 and 27,981.30 is: 41,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.65 : 46,221.93 = 27,981.30 : x
  2. Step 2: Convert to fraction form
    30,970.65/46,221.93 = 27,981.30/x
  3. Step 3: Cross multiply
    30,970.65x = 46,221.93 × 27,981.30
  4. Step 4: Simplify right side
    30,970.65x = 1,293,349,794.84
  5. Step 5: Solve for x
    x = 1,293,349,794.84/30,970.65
  6. Step 6: Final answer
    x = 41,760.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.