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Finding the Fourth Proportional to 7,155.72, 9,874.98 and 4,011.93

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Solution

The fourth proportional to 7,155.72, 9,874.98 and 4,011.93 is: 5,536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.72 : 9,874.98 = 4,011.93 : x
  2. Step 2: Convert to fraction form
    7,155.72/9,874.98 = 4,011.93/x
  3. Step 3: Cross multiply
    7,155.72x = 9,874.98 × 4,011.93
  4. Step 4: Simplify right side
    7,155.72x = 39,617,728.51
  5. Step 5: Solve for x
    x = 39,617,728.51/7,155.72
  6. Step 6: Final answer
    x = 5,536.51

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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.