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Finding the Fourth Proportional to 28,972.64, 43,457.76 and 9,252.32

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Solution

The fourth proportional to 28,972.64, 43,457.76 and 9,252.32 is: 13,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,972.64 : 43,457.76 = 9,252.32 : x
  2. Step 2: Convert to fraction form
    28,972.64/43,457.76 = 9,252.32/x
  3. Step 3: Cross multiply
    28,972.64x = 43,457.76 × 9,252.32
  4. Step 4: Simplify right side
    28,972.64x = 402,085,102.00
  5. Step 5: Solve for x
    x = 402,085,102.00/28,972.64
  6. Step 6: Final answer
    x = 13,878.10

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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.