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Finding the Fourth Proportional to 14,510.40, 21,770.40 and 4,651.20

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Solution

The fourth proportional to 14,510.40, 21,770.40 and 4,651.20 is: 6,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.40 : 21,770.40 = 4,651.20 : x
  2. Step 2: Convert to fraction form
    14,510.40/21,770.40 = 4,651.20/x
  3. Step 3: Cross multiply
    14,510.40x = 21,770.40 × 4,651.20
  4. Step 4: Simplify right side
    14,510.40x = 101,258,484.48
  5. Step 5: Solve for x
    x = 101,258,484.48/14,510.40
  6. Step 6: Final answer
    x = 6,978.34

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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.