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Finding the Fourth Proportional to 15,526, 21,427.16 and 8,903.28

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Solution

The fourth proportional to 15,526, 21,427.16 and 8,903.28 is: 12,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,526 : 21,427.16 = 8,903.28 : x
  2. Step 2: Convert to fraction form
    15,526/21,427.16 = 8,903.28/x
  3. Step 3: Cross multiply
    15,526x = 21,427.16 × 8,903.28
  4. Step 4: Simplify right side
    15,526x = 190,772,005.08
  5. Step 5: Solve for x
    x = 190,772,005.08/15,526
  6. Step 6: Final answer
    x = 12,287.26

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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.