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Finding the Fourth Proportional to 28,931.04, 43,396.56 and 9,215.64

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Solution

The fourth proportional to 28,931.04, 43,396.56 and 9,215.64 is: 13,823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,931.04 : 43,396.56 = 9,215.64 : x
  2. Step 2: Convert to fraction form
    28,931.04/43,396.56 = 9,215.64/x
  3. Step 3: Cross multiply
    28,931.04x = 43,396.56 × 9,215.64
  4. Step 4: Simplify right side
    28,931.04x = 399,927,074.20
  5. Step 5: Solve for x
    x = 399,927,074.20/28,931.04
  6. Step 6: Final answer
    x = 13,823.46

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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.