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Finding the Fourth Proportional to 15,782.78, 23,674.20 and 10,837.40

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Solution

The fourth proportional to 15,782.78, 23,674.20 and 10,837.40 is: 16,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.78 : 23,674.20 = 10,837.40 : x
  2. Step 2: Convert to fraction form
    15,782.78/23,674.20 = 10,837.40/x
  3. Step 3: Cross multiply
    15,782.78x = 23,674.20 × 10,837.40
  4. Step 4: Simplify right side
    15,782.78x = 256,566,775.08
  5. Step 5: Solve for x
    x = 256,566,775.08/15,782.78
  6. Step 6: Final answer
    x = 16,256.12

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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.