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Finding the Fourth Proportional to 14,271.32, 21,407 and 7,700.60

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Solution

The fourth proportional to 14,271.32, 21,407 and 7,700.60 is: 11,550.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.32 : 21,407 = 7,700.60 : x
  2. Step 2: Convert to fraction form
    14,271.32/21,407 = 7,700.60/x
  3. Step 3: Cross multiply
    14,271.32x = 21,407 × 7,700.60
  4. Step 4: Simplify right side
    14,271.32x = 164,846,744.20
  5. Step 5: Solve for x
    x = 164,846,744.20/14,271.32
  6. Step 6: Final answer
    x = 11,550.91

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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.