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Finding the Fourth Proportional to 10,415.40, 14,400.90 and 9,103.20

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Solution

The fourth proportional to 10,415.40, 14,400.90 and 9,103.20 is: 12,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.40 : 14,400.90 = 9,103.20 : x
  2. Step 2: Convert to fraction form
    10,415.40/14,400.90 = 9,103.20/x
  3. Step 3: Cross multiply
    10,415.40x = 14,400.90 × 9,103.20
  4. Step 4: Simplify right side
    10,415.40x = 131,094,272.88
  5. Step 5: Solve for x
    x = 131,094,272.88/10,415.40
  6. Step 6: Final answer
    x = 12,586.58

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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.