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Finding the Fourth Proportional to 5,987.76, 8,967.68 and 5,780.12

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Solution

The fourth proportional to 5,987.76, 8,967.68 and 5,780.12 is: 8,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.76 : 8,967.68 = 5,780.12 : x
  2. Step 2: Convert to fraction form
    5,987.76/8,967.68 = 5,780.12/x
  3. Step 3: Cross multiply
    5,987.76x = 8,967.68 × 5,780.12
  4. Step 4: Simplify right side
    5,987.76x = 51,834,266.52
  5. Step 5: Solve for x
    x = 51,834,266.52/5,987.76
  6. Step 6: Final answer
    x = 8,656.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.