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Finding the Fourth Proportional to 7,089, 9,782.82 and 3,945.93

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Solution

The fourth proportional to 7,089, 9,782.82 and 3,945.93 is: 5,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089 : 9,782.82 = 3,945.93 : x
  2. Step 2: Convert to fraction form
    7,089/9,782.82 = 3,945.93/x
  3. Step 3: Cross multiply
    7,089x = 9,782.82 × 3,945.93
  4. Step 4: Simplify right side
    7,089x = 38,602,322.92
  5. Step 5: Solve for x
    x = 38,602,322.92/7,089
  6. Step 6: Final answer
    x = 5,445.38

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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.