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Finding the Fourth Proportional to 10,347.35, 14,275.64 and 6,945.20

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Solution

The fourth proportional to 10,347.35, 14,275.64 and 6,945.20 is: 9,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.35 : 14,275.64 = 6,945.20 : x
  2. Step 2: Convert to fraction form
    10,347.35/14,275.64 = 6,945.20/x
  3. Step 3: Cross multiply
    10,347.35x = 14,275.64 × 6,945.20
  4. Step 4: Simplify right side
    10,347.35x = 99,147,120.91
  5. Step 5: Solve for x
    x = 99,147,120.91/10,347.35
  6. Step 6: Final answer
    x = 9,581.88

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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.