Home / 10,509.40-15,764.46-3,583

Finding the Fourth Proportional to 10,509.40, 15,764.46 and 3,583

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Solution

The fourth proportional to 10,509.40, 15,764.46 and 3,583 is: 5,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.40 : 15,764.46 = 3,583 : x
  2. Step 2: Convert to fraction form
    10,509.40/15,764.46 = 3,583/x
  3. Step 3: Cross multiply
    10,509.40x = 15,764.46 × 3,583
  4. Step 4: Simplify right side
    10,509.40x = 56,484,060.18
  5. Step 5: Solve for x
    x = 56,484,060.18/10,509.40
  6. Step 6: Final answer
    x = 5,374.62

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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.