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Finding the Fourth Proportional to 7,090.40, 9,782.12 and 7,079.47

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Solution

The fourth proportional to 7,090.40, 9,782.12 and 7,079.47 is: 9,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.40 : 9,782.12 = 7,079.47 : x
  2. Step 2: Convert to fraction form
    7,090.40/9,782.12 = 7,079.47/x
  3. Step 3: Cross multiply
    7,090.40x = 9,782.12 × 7,079.47
  4. Step 4: Simplify right side
    7,090.40x = 69,252,176.17
  5. Step 5: Solve for x
    x = 69,252,176.17/7,090.40
  6. Step 6: Final answer
    x = 9,767.03

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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.