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Finding the Fourth Proportional to 10,655.64, 14,710.08 and 8,260.20

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Solution

The fourth proportional to 10,655.64, 14,710.08 and 8,260.20 is: 11,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.64 : 14,710.08 = 8,260.20 : x
  2. Step 2: Convert to fraction form
    10,655.64/14,710.08 = 8,260.20/x
  3. Step 3: Cross multiply
    10,655.64x = 14,710.08 × 8,260.20
  4. Step 4: Simplify right side
    10,655.64x = 121,508,202.82
  5. Step 5: Solve for x
    x = 121,508,202.82/10,655.64
  6. Step 6: Final answer
    x = 11,403.18

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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.