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Finding the Fourth Proportional to 26,258.56, 36,218.76 and 15,640

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Solution

The fourth proportional to 26,258.56, 36,218.76 and 15,640 is: 21,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,258.56 : 36,218.76 = 15,640 : x
  2. Step 2: Convert to fraction form
    26,258.56/36,218.76 = 15,640/x
  3. Step 3: Cross multiply
    26,258.56x = 36,218.76 × 15,640
  4. Step 4: Simplify right side
    26,258.56x = 566,461,406.40
  5. Step 5: Solve for x
    x = 566,461,406.40/26,258.56
  6. Step 6: Final answer
    x = 21,572.45

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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.