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Finding the Fourth Proportional to 10,609.42, 15,899.06 and 7,814.16

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Solution

The fourth proportional to 10,609.42, 15,899.06 and 7,814.16 is: 11,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.42 : 15,899.06 = 7,814.16 : x
  2. Step 2: Convert to fraction form
    10,609.42/15,899.06 = 7,814.16/x
  3. Step 3: Cross multiply
    10,609.42x = 15,899.06 × 7,814.16
  4. Step 4: Simplify right side
    10,609.42x = 124,237,798.69
  5. Step 5: Solve for x
    x = 124,237,798.69/10,609.42
  6. Step 6: Final answer
    x = 11,710.14

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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.