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Finding the Fourth Proportional to 10,605.18, 14,630.35 and 6,826.99

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Solution

The fourth proportional to 10,605.18, 14,630.35 and 6,826.99 is: 9,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.18 : 14,630.35 = 6,826.99 : x
  2. Step 2: Convert to fraction form
    10,605.18/14,630.35 = 6,826.99/x
  3. Step 3: Cross multiply
    10,605.18x = 14,630.35 × 6,826.99
  4. Step 4: Simplify right side
    10,605.18x = 99,881,253.15
  5. Step 5: Solve for x
    x = 99,881,253.15/10,605.18
  6. Step 6: Final answer
    x = 9,418.16

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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.