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Finding the Fourth Proportional to 7,159.97, 9,878.74 and 4,642.19

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Solution

The fourth proportional to 7,159.97, 9,878.74 and 4,642.19 is: 6,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.97 : 9,878.74 = 4,642.19 : x
  2. Step 2: Convert to fraction form
    7,159.97/9,878.74 = 4,642.19/x
  3. Step 3: Cross multiply
    7,159.97x = 9,878.74 × 4,642.19
  4. Step 4: Simplify right side
    7,159.97x = 45,859,001.13
  5. Step 5: Solve for x
    x = 45,859,001.13/7,159.97
  6. Step 6: Final answer
    x = 6,404.91

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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.