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Finding the Fourth Proportional to 10,805.78, 14,882.18 and 9,313.16

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Solution

The fourth proportional to 10,805.78, 14,882.18 and 9,313.16 is: 12,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.78 : 14,882.18 = 9,313.16 : x
  2. Step 2: Convert to fraction form
    10,805.78/14,882.18 = 9,313.16/x
  3. Step 3: Cross multiply
    10,805.78x = 14,882.18 × 9,313.16
  4. Step 4: Simplify right side
    10,805.78x = 138,600,002.51
  5. Step 5: Solve for x
    x = 138,600,002.51/10,805.78
  6. Step 6: Final answer
    x = 12,826.47

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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.