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Finding the Fourth Proportional to 30,095.34, 45,142.38 and 7,910.16

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Solution

The fourth proportional to 30,095.34, 45,142.38 and 7,910.16 is: 11,865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,095.34 : 45,142.38 = 7,910.16 : x
  2. Step 2: Convert to fraction form
    30,095.34/45,142.38 = 7,910.16/x
  3. Step 3: Cross multiply
    30,095.34x = 45,142.38 × 7,910.16
  4. Step 4: Simplify right side
    30,095.34x = 357,083,448.58
  5. Step 5: Solve for x
    x = 357,083,448.58/30,095.34
  6. Step 6: Final answer
    x = 11,865.07

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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.