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Finding the Fourth Proportional to 10,605.30, 14,628.77 and 6,827.22

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Solution

The fourth proportional to 10,605.30, 14,628.77 and 6,827.22 is: 9,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.30 : 14,628.77 = 6,827.22 : x
  2. Step 2: Convert to fraction form
    10,605.30/14,628.77 = 6,827.22/x
  3. Step 3: Cross multiply
    10,605.30x = 14,628.77 × 6,827.22
  4. Step 4: Simplify right side
    10,605.30x = 99,873,831.12
  5. Step 5: Solve for x
    x = 99,873,831.12/10,605.30
  6. Step 6: Final answer
    x = 9,417.35

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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.