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Finding the Fourth Proportional to 10,648.96, 14,696.65 and 6,401.39

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Solution

The fourth proportional to 10,648.96, 14,696.65 and 6,401.39 is: 8,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.96 : 14,696.65 = 6,401.39 : x
  2. Step 2: Convert to fraction form
    10,648.96/14,696.65 = 6,401.39/x
  3. Step 3: Cross multiply
    10,648.96x = 14,696.65 × 6,401.39
  4. Step 4: Simplify right side
    10,648.96x = 94,078,988.34
  5. Step 5: Solve for x
    x = 94,078,988.34/10,648.96
  6. Step 6: Final answer
    x = 8,834.57

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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.