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Finding the Fourth Proportional to 10,802.72, 14,909.64 and 6,822.56

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Solution

The fourth proportional to 10,802.72, 14,909.64 and 6,822.56 is: 9,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.72 : 14,909.64 = 6,822.56 : x
  2. Step 2: Convert to fraction form
    10,802.72/14,909.64 = 6,822.56/x
  3. Step 3: Cross multiply
    10,802.72x = 14,909.64 × 6,822.56
  4. Step 4: Simplify right side
    10,802.72x = 101,721,913.48
  5. Step 5: Solve for x
    x = 101,721,913.48/10,802.72
  6. Step 6: Final answer
    x = 9,416.32

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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.