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Finding the Fourth Proportional to 30,768.71, 46,123.90 and 9,977.63

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Solution

The fourth proportional to 30,768.71, 46,123.90 and 9,977.63 is: 14,956.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768.71 : 46,123.90 = 9,977.63 : x
  2. Step 2: Convert to fraction form
    30,768.71/46,123.90 = 9,977.63/x
  3. Step 3: Cross multiply
    30,768.71x = 46,123.90 × 9,977.63
  4. Step 4: Simplify right side
    30,768.71x = 460,206,952.79
  5. Step 5: Solve for x
    x = 460,206,952.79/30,768.71
  6. Step 6: Final answer
    x = 14,956.98

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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.