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Finding the Fourth Proportional to 6,987.59, 9,647.17 and 4,808.51

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Solution

The fourth proportional to 6,987.59, 9,647.17 and 4,808.51 is: 6,638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.59 : 9,647.17 = 4,808.51 : x
  2. Step 2: Convert to fraction form
    6,987.59/9,647.17 = 4,808.51/x
  3. Step 3: Cross multiply
    6,987.59x = 9,647.17 × 4,808.51
  4. Step 4: Simplify right side
    6,987.59x = 46,388,465.18
  5. Step 5: Solve for x
    x = 46,388,465.18/6,987.59
  6. Step 6: Final answer
    x = 6,638.70

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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.