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Finding the Fourth Proportional to 10,130.34, 15,197.12 and 4,287

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Solution

The fourth proportional to 10,130.34, 15,197.12 and 4,287 is: 6,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.34 : 15,197.12 = 4,287 : x
  2. Step 2: Convert to fraction form
    10,130.34/15,197.12 = 4,287/x
  3. Step 3: Cross multiply
    10,130.34x = 15,197.12 × 4,287
  4. Step 4: Simplify right side
    10,130.34x = 65,150,053.44
  5. Step 5: Solve for x
    x = 65,150,053.44/10,130.34
  6. Step 6: Final answer
    x = 6,431.18

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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.