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Finding the Fourth Proportional to 9,830.10, 13,582.81 and 7,856.94

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Solution

The fourth proportional to 9,830.10, 13,582.81 and 7,856.94 is: 10,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.10 : 13,582.81 = 7,856.94 : x
  2. Step 2: Convert to fraction form
    9,830.10/13,582.81 = 7,856.94/x
  3. Step 3: Cross multiply
    9,830.10x = 13,582.81 × 7,856.94
  4. Step 4: Simplify right side
    9,830.10x = 106,719,323.20
  5. Step 5: Solve for x
    x = 106,719,323.20/9,830.10
  6. Step 6: Final answer
    x = 10,856.38

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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.