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Finding the Fourth Proportional to 4,987.50, 7,484.52 and 1,909.50

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Solution

The fourth proportional to 4,987.50, 7,484.52 and 1,909.50 is: 2,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.50 : 7,484.52 = 1,909.50 : x
  2. Step 2: Convert to fraction form
    4,987.50/7,484.52 = 1,909.50/x
  3. Step 3: Cross multiply
    4,987.50x = 7,484.52 × 1,909.50
  4. Step 4: Simplify right side
    4,987.50x = 14,291,690.94
  5. Step 5: Solve for x
    x = 14,291,690.94/4,987.50
  6. Step 6: Final answer
    x = 2,865.50

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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.