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Finding the Fourth Proportional to 30,598.24, 45,895.68 and 8,411.20

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Solution

The fourth proportional to 30,598.24, 45,895.68 and 8,411.20 is: 12,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,598.24 : 45,895.68 = 8,411.20 : x
  2. Step 2: Convert to fraction form
    30,598.24/45,895.68 = 8,411.20/x
  3. Step 3: Cross multiply
    30,598.24x = 45,895.68 × 8,411.20
  4. Step 4: Simplify right side
    30,598.24x = 386,037,743.62
  5. Step 5: Solve for x
    x = 386,037,743.62/30,598.24
  6. Step 6: Final answer
    x = 12,616.34

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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.