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Finding the Fourth Proportional to 15,955.78, 23,897.22 and 7,641.64

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Solution

The fourth proportional to 15,955.78, 23,897.22 and 7,641.64 is: 11,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,955.78 : 23,897.22 = 7,641.64 : x
  2. Step 2: Convert to fraction form
    15,955.78/23,897.22 = 7,641.64/x
  3. Step 3: Cross multiply
    15,955.78x = 23,897.22 × 7,641.64
  4. Step 4: Simplify right side
    15,955.78x = 182,613,952.24
  5. Step 5: Solve for x
    x = 182,613,952.24/15,955.78
  6. Step 6: Final answer
    x = 11,445.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.