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Finding the Fourth Proportional to 28,430.64, 42,651.24 and 9,709.64

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Solution

The fourth proportional to 28,430.64, 42,651.24 and 9,709.64 is: 14,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,430.64 : 42,651.24 = 9,709.64 : x
  2. Step 2: Convert to fraction form
    28,430.64/42,651.24 = 9,709.64/x
  3. Step 3: Cross multiply
    28,430.64x = 42,651.24 × 9,709.64
  4. Step 4: Simplify right side
    28,430.64x = 414,128,185.95
  5. Step 5: Solve for x
    x = 414,128,185.95/28,430.64
  6. Step 6: Final answer
    x = 14,566.26

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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.