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Finding the Fourth Proportional to 10,402.49, 14,355.49 and 5,686.77

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Solution

The fourth proportional to 10,402.49, 14,355.49 and 5,686.77 is: 7,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.49 : 14,355.49 = 5,686.77 : x
  2. Step 2: Convert to fraction form
    10,402.49/14,355.49 = 5,686.77/x
  3. Step 3: Cross multiply
    10,402.49x = 14,355.49 × 5,686.77
  4. Step 4: Simplify right side
    10,402.49x = 81,636,367.58
  5. Step 5: Solve for x
    x = 81,636,367.58/10,402.49
  6. Step 6: Final answer
    x = 7,847.77

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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.