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Finding the Fourth Proportional to 30,463.74, 45,698.90 and 8,277.48

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Solution

The fourth proportional to 30,463.74, 45,698.90 and 8,277.48 is: 12,417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463.74 : 45,698.90 = 8,277.48 : x
  2. Step 2: Convert to fraction form
    30,463.74/45,698.90 = 8,277.48/x
  3. Step 3: Cross multiply
    30,463.74x = 45,698.90 × 8,277.48
  4. Step 4: Simplify right side
    30,463.74x = 378,271,689.38
  5. Step 5: Solve for x
    x = 378,271,689.38/30,463.74
  6. Step 6: Final answer
    x = 12,417.11

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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.