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Finding the Fourth Proportional to 30,957.96, 46,436.94 and 12,477

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Solution

The fourth proportional to 30,957.96, 46,436.94 and 12,477 is: 18,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957.96 : 46,436.94 = 12,477 : x
  2. Step 2: Convert to fraction form
    30,957.96/46,436.94 = 12,477/x
  3. Step 3: Cross multiply
    30,957.96x = 46,436.94 × 12,477
  4. Step 4: Simplify right side
    30,957.96x = 579,393,700.38
  5. Step 5: Solve for x
    x = 579,393,700.38/30,957.96
  6. Step 6: Final answer
    x = 18,715.50

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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.