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Finding the Fourth Proportional to 15,610, 21,541.70 and 8,536.46

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Solution

The fourth proportional to 15,610, 21,541.70 and 8,536.46 is: 11,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,610 : 21,541.70 = 8,536.46 : x
  2. Step 2: Convert to fraction form
    15,610/21,541.70 = 8,536.46/x
  3. Step 3: Cross multiply
    15,610x = 21,541.70 × 8,536.46
  4. Step 4: Simplify right side
    15,610x = 183,889,860.38
  5. Step 5: Solve for x
    x = 183,889,860.38/15,610
  6. Step 6: Final answer
    x = 11,780.26

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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.