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Finding the Fourth Proportional to 7,155.33, 9,872.13 and 4,130.07

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Solution

The fourth proportional to 7,155.33, 9,872.13 and 4,130.07 is: 5,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.33 : 9,872.13 = 4,130.07 : x
  2. Step 2: Convert to fraction form
    7,155.33/9,872.13 = 4,130.07/x
  3. Step 3: Cross multiply
    7,155.33x = 9,872.13 × 4,130.07
  4. Step 4: Simplify right side
    7,155.33x = 40,772,536.22
  5. Step 5: Solve for x
    x = 40,772,536.22/7,155.33
  6. Step 6: Final answer
    x = 5,698.20

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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.