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Finding the Fourth Proportional to 30,668.64, 45,970.16 and 15,862.65

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Solution

The fourth proportional to 30,668.64, 45,970.16 and 15,862.65 is: 23,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,668.64 : 45,970.16 = 15,862.65 : x
  2. Step 2: Convert to fraction form
    30,668.64/45,970.16 = 15,862.65/x
  3. Step 3: Cross multiply
    30,668.64x = 45,970.16 × 15,862.65
  4. Step 4: Simplify right side
    30,668.64x = 729,208,479.21
  5. Step 5: Solve for x
    x = 729,208,479.21/30,668.64
  6. Step 6: Final answer
    x = 23,777.01

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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.