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Finding the Fourth Proportional to 15,700.36, 21,666.98 and 8,627

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Solution

The fourth proportional to 15,700.36, 21,666.98 and 8,627 is: 11,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700.36 : 21,666.98 = 8,627 : x
  2. Step 2: Convert to fraction form
    15,700.36/21,666.98 = 8,627/x
  3. Step 3: Cross multiply
    15,700.36x = 21,666.98 × 8,627
  4. Step 4: Simplify right side
    15,700.36x = 186,921,036.46
  5. Step 5: Solve for x
    x = 186,921,036.46/15,700.36
  6. Step 6: Final answer
    x = 11,905.53

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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.