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Finding the Fourth Proportional to 7,955.19, 10,978.16 and 4,418.43

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Solution

The fourth proportional to 7,955.19, 10,978.16 and 4,418.43 is: 6,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.19 : 10,978.16 = 4,418.43 : x
  2. Step 2: Convert to fraction form
    7,955.19/10,978.16 = 4,418.43/x
  3. Step 3: Cross multiply
    7,955.19x = 10,978.16 × 4,418.43
  4. Step 4: Simplify right side
    7,955.19x = 48,506,215.09
  5. Step 5: Solve for x
    x = 48,506,215.09/7,955.19
  6. Step 6: Final answer
    x = 6,097.43

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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.