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Finding the Fourth Proportional to 30,534.38, 45,804.30 and 8,347.87

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Solution

The fourth proportional to 30,534.38, 45,804.30 and 8,347.87 is: 12,522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.38 : 45,804.30 = 8,347.87 : x
  2. Step 2: Convert to fraction form
    30,534.38/45,804.30 = 8,347.87/x
  3. Step 3: Cross multiply
    30,534.38x = 45,804.30 × 8,347.87
  4. Step 4: Simplify right side
    30,534.38x = 382,368,341.84
  5. Step 5: Solve for x
    x = 382,368,341.84/30,534.38
  6. Step 6: Final answer
    x = 12,522.55

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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.