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Finding the Fourth Proportional to 10,418.77, 14,378 and 5,703.15

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Solution

The fourth proportional to 10,418.77, 14,378 and 5,703.15 is: 7,870.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.77 : 14,378 = 5,703.15 : x
  2. Step 2: Convert to fraction form
    10,418.77/14,378 = 5,703.15/x
  3. Step 3: Cross multiply
    10,418.77x = 14,378 × 5,703.15
  4. Step 4: Simplify right side
    10,418.77x = 81,999,890.70
  5. Step 5: Solve for x
    x = 81,999,890.70/10,418.77
  6. Step 6: Final answer
    x = 7,870.40

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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.