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Finding the Fourth Proportional to 15,642, 21,587.76 and 8,928.59

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Solution

The fourth proportional to 15,642, 21,587.76 and 8,928.59 is: 12,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642 : 21,587.76 = 8,928.59 : x
  2. Step 2: Convert to fraction form
    15,642/21,587.76 = 8,928.59/x
  3. Step 3: Cross multiply
    15,642x = 21,587.76 × 8,928.59
  4. Step 4: Simplify right side
    15,642x = 192,748,150.12
  5. Step 5: Solve for x
    x = 192,748,150.12/15,642
  6. Step 6: Final answer
    x = 12,322.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.