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Finding the Fourth Proportional to 7,087, 9,782.70 and 5,323.70

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Solution

The fourth proportional to 7,087, 9,782.70 and 5,323.70 is: 7,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087 : 9,782.70 = 5,323.70 : x
  2. Step 2: Convert to fraction form
    7,087/9,782.70 = 5,323.70/x
  3. Step 3: Cross multiply
    7,087x = 9,782.70 × 5,323.70
  4. Step 4: Simplify right side
    7,087x = 52,080,159.99
  5. Step 5: Solve for x
    x = 52,080,159.99/7,087
  6. Step 6: Final answer
    x = 7,348.69

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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.