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Finding the Fourth Proportional to 9,864.70, 13,624.84 and 7,854.84

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Solution

The fourth proportional to 9,864.70, 13,624.84 and 7,854.84 is: 10,848.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.70 : 13,624.84 = 7,854.84 : x
  2. Step 2: Convert to fraction form
    9,864.70/13,624.84 = 7,854.84/x
  3. Step 3: Cross multiply
    9,864.70x = 13,624.84 × 7,854.84
  4. Step 4: Simplify right side
    9,864.70x = 107,020,948.04
  5. Step 5: Solve for x
    x = 107,020,948.04/9,864.70
  6. Step 6: Final answer
    x = 10,848.88

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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.