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Finding the Fourth Proportional to 10,611.61, 14,647.03 and 6,364.07

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Solution

The fourth proportional to 10,611.61, 14,647.03 and 6,364.07 is: 8,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.61 : 14,647.03 = 6,364.07 : x
  2. Step 2: Convert to fraction form
    10,611.61/14,647.03 = 6,364.07/x
  3. Step 3: Cross multiply
    10,611.61x = 14,647.03 × 6,364.07
  4. Step 4: Simplify right side
    10,611.61x = 93,214,689.99
  5. Step 5: Solve for x
    x = 93,214,689.99/10,611.61
  6. Step 6: Final answer
    x = 8,784.22

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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.