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Finding the Fourth Proportional to 10,640, 14,683.20 and 6,447.44

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Solution

The fourth proportional to 10,640, 14,683.20 and 6,447.44 is: 8,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640 : 14,683.20 = 6,447.44 : x
  2. Step 2: Convert to fraction form
    10,640/14,683.20 = 6,447.44/x
  3. Step 3: Cross multiply
    10,640x = 14,683.20 × 6,447.44
  4. Step 4: Simplify right side
    10,640x = 94,669,051.01
  5. Step 5: Solve for x
    x = 94,669,051.01/10,640
  6. Step 6: Final answer
    x = 8,897.47

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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.