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Finding the Fourth Proportional to 6,987.08, 10,442.14 and 6,582.50

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Solution

The fourth proportional to 6,987.08, 10,442.14 and 6,582.50 is: 9,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.08 : 10,442.14 = 6,582.50 : x
  2. Step 2: Convert to fraction form
    6,987.08/10,442.14 = 6,582.50/x
  3. Step 3: Cross multiply
    6,987.08x = 10,442.14 × 6,582.50
  4. Step 4: Simplify right side
    6,987.08x = 68,735,386.55
  5. Step 5: Solve for x
    x = 68,735,386.55/6,987.08
  6. Step 6: Final answer
    x = 9,837.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.