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Finding the Fourth Proportional to 30,710.34, 46,082.52 and 28,479.60

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Solution

The fourth proportional to 30,710.34, 46,082.52 and 28,479.60 is: 42,735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.34 : 46,082.52 = 28,479.60 : x
  2. Step 2: Convert to fraction form
    30,710.34/46,082.52 = 28,479.60/x
  3. Step 3: Cross multiply
    30,710.34x = 46,082.52 × 28,479.60
  4. Step 4: Simplify right side
    30,710.34x = 1,312,411,736.59
  5. Step 5: Solve for x
    x = 1,312,411,736.59/30,710.34
  6. Step 6: Final answer
    x = 42,735.17

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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.