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Finding the Fourth Proportional to 10,509.66, 14,502.84 and 6,979.32

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Solution

The fourth proportional to 10,509.66, 14,502.84 and 6,979.32 is: 9,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.66 : 14,502.84 = 6,979.32 : x
  2. Step 2: Convert to fraction form
    10,509.66/14,502.84 = 6,979.32/x
  3. Step 3: Cross multiply
    10,509.66x = 14,502.84 × 6,979.32
  4. Step 4: Simplify right side
    10,509.66x = 101,219,961.27
  5. Step 5: Solve for x
    x = 101,219,961.27/10,509.66
  6. Step 6: Final answer
    x = 9,631.14

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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.