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Finding the Fourth Proportional to 10,856.78, 14,983.08 and 6,077.17

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Solution

The fourth proportional to 10,856.78, 14,983.08 and 6,077.17 is: 8,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.78 : 14,983.08 = 6,077.17 : x
  2. Step 2: Convert to fraction form
    10,856.78/14,983.08 = 6,077.17/x
  3. Step 3: Cross multiply
    10,856.78x = 14,983.08 × 6,077.17
  4. Step 4: Simplify right side
    10,856.78x = 91,054,693.90
  5. Step 5: Solve for x
    x = 91,054,693.90/10,856.78
  6. Step 6: Final answer
    x = 8,386.90

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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.