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Finding the Fourth Proportional to 14,276.16, 21,420 and 6,477.12

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Solution

The fourth proportional to 14,276.16, 21,420 and 6,477.12 is: 9,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,276.16 : 21,420 = 6,477.12 : x
  2. Step 2: Convert to fraction form
    14,276.16/21,420 = 6,477.12/x
  3. Step 3: Cross multiply
    14,276.16x = 21,420 × 6,477.12
  4. Step 4: Simplify right side
    14,276.16x = 138,739,910.40
  5. Step 5: Solve for x
    x = 138,739,910.40/14,276.16
  6. Step 6: Final answer
    x = 9,718.29

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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.