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Finding the Fourth Proportional to 15,851.76, 21,875.76 and 8,778.39

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Solution

The fourth proportional to 15,851.76, 21,875.76 and 8,778.39 is: 12,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,851.76 : 21,875.76 = 8,778.39 : x
  2. Step 2: Convert to fraction form
    15,851.76/21,875.76 = 8,778.39/x
  3. Step 3: Cross multiply
    15,851.76x = 21,875.76 × 8,778.39
  4. Step 4: Simplify right side
    15,851.76x = 192,033,952.83
  5. Step 5: Solve for x
    x = 192,033,952.83/15,851.76
  6. Step 6: Final answer
    x = 12,114.36

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1.5x scale

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.