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Finding the Fourth Proportional to 10,840.64, 14,945.28 and 6,859.76

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Solution

The fourth proportional to 10,840.64, 14,945.28 and 6,859.76 is: 9,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.64 : 14,945.28 = 6,859.76 : x
  2. Step 2: Convert to fraction form
    10,840.64/14,945.28 = 6,859.76/x
  3. Step 3: Cross multiply
    10,840.64x = 14,945.28 × 6,859.76
  4. Step 4: Simplify right side
    10,840.64x = 102,521,033.93
  5. Step 5: Solve for x
    x = 102,521,033.93/10,840.64
  6. Step 6: Final answer
    x = 9,457.10

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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.