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Finding the Fourth Proportional to 10,378, 14,328.12 and 6,658.48

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Solution

The fourth proportional to 10,378, 14,328.12 and 6,658.48 is: 9,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378 : 14,328.12 = 6,658.48 : x
  2. Step 2: Convert to fraction form
    10,378/14,328.12 = 6,658.48/x
  3. Step 3: Cross multiply
    10,378x = 14,328.12 × 6,658.48
  4. Step 4: Simplify right side
    10,378x = 95,403,500.46
  5. Step 5: Solve for x
    x = 95,403,500.46/10,378
  6. Step 6: Final answer
    x = 9,192.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.