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Finding the Fourth Proportional to 30,213, 45,287.10 and 14,596.20

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Solution

The fourth proportional to 30,213, 45,287.10 and 14,596.20 is: 21,878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213 : 45,287.10 = 14,596.20 : x
  2. Step 2: Convert to fraction form
    30,213/45,287.10 = 14,596.20/x
  3. Step 3: Cross multiply
    30,213x = 45,287.10 × 14,596.20
  4. Step 4: Simplify right side
    30,213x = 661,019,569.02
  5. Step 5: Solve for x
    x = 661,019,569.02/30,213
  6. Step 6: Final answer
    x = 21,878.65

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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.