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Finding the Fourth Proportional to 11,357.88, 17,019.48 and 7,646.40

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Solution

The fourth proportional to 11,357.88, 17,019.48 and 7,646.40 is: 11,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.88 : 17,019.48 = 7,646.40 : x
  2. Step 2: Convert to fraction form
    11,357.88/17,019.48 = 7,646.40/x
  3. Step 3: Cross multiply
    11,357.88x = 17,019.48 × 7,646.40
  4. Step 4: Simplify right side
    11,357.88x = 130,137,751.87
  5. Step 5: Solve for x
    x = 130,137,751.87/11,357.88
  6. Step 6: Final answer
    x = 11,457.93

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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.