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Finding the Fourth Proportional to 7,970.99, 10,992.32 and 5,277.93

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Solution

The fourth proportional to 7,970.99, 10,992.32 and 5,277.93 is: 7,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.99 : 10,992.32 = 5,277.93 : x
  2. Step 2: Convert to fraction form
    7,970.99/10,992.32 = 5,277.93/x
  3. Step 3: Cross multiply
    7,970.99x = 10,992.32 × 5,277.93
  4. Step 4: Simplify right side
    7,970.99x = 58,016,669.11
  5. Step 5: Solve for x
    x = 58,016,669.11/7,970.99
  6. Step 6: Final answer
    x = 7,278.48

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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.