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Finding the Fourth Proportional to 30,926.64, 46,389.42 and 21,430.20

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Solution

The fourth proportional to 30,926.64, 46,389.42 and 21,430.20 is: 32,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,926.64 : 46,389.42 = 21,430.20 : x
  2. Step 2: Convert to fraction form
    30,926.64/46,389.42 = 21,430.20/x
  3. Step 3: Cross multiply
    30,926.64x = 46,389.42 × 21,430.20
  4. Step 4: Simplify right side
    30,926.64x = 994,134,548.48
  5. Step 5: Solve for x
    x = 994,134,548.48/30,926.64
  6. Step 6: Final answer
    x = 32,144.93

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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.