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Finding the Fourth Proportional to 8,647.61, 12,981.67 and 7,278.00

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Solution

The fourth proportional to 8,647.61, 12,981.67 and 7,278.00 is: 10,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.61 : 12,981.67 = 7,278.00 : x
  2. Step 2: Convert to fraction form
    8,647.61/12,981.67 = 7,278.00/x
  3. Step 3: Cross multiply
    8,647.61x = 12,981.67 × 7,278.00
  4. Step 4: Simplify right side
    8,647.61x = 94,480,600.41
  5. Step 5: Solve for x
    x = 94,480,600.41/8,647.61
  6. Step 6: Final answer
    x = 10,925.63

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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.