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Finding the Fourth Proportional to 30,345, 45,525.18 and 8,457

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Solution

The fourth proportional to 30,345, 45,525.18 and 8,457 is: 12,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,345 : 45,525.18 = 8,457 : x
  2. Step 2: Convert to fraction form
    30,345/45,525.18 = 8,457/x
  3. Step 3: Cross multiply
    30,345x = 45,525.18 × 8,457
  4. Step 4: Simplify right side
    30,345x = 385,006,447.26
  5. Step 5: Solve for x
    x = 385,006,447.26/30,345
  6. Step 6: Final answer
    x = 12,687.64

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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.