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Finding the Fourth Proportional to 10,318.70, 15,478.05 and 9,784.10

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Solution

The fourth proportional to 10,318.70, 15,478.05 and 9,784.10 is: 14,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.70 : 15,478.05 = 9,784.10 : x
  2. Step 2: Convert to fraction form
    10,318.70/15,478.05 = 9,784.10/x
  3. Step 3: Cross multiply
    10,318.70x = 15,478.05 × 9,784.10
  4. Step 4: Simplify right side
    10,318.70x = 151,438,789.01
  5. Step 5: Solve for x
    x = 151,438,789.01/10,318.70
  6. Step 6: Final answer
    x = 14,676.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.