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Finding the Fourth Proportional to 5,783.90, 8,678.54 and 1,835.78

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Solution

The fourth proportional to 5,783.90, 8,678.54 and 1,835.78 is: 2,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.90 : 8,678.54 = 1,835.78 : x
  2. Step 2: Convert to fraction form
    5,783.90/8,678.54 = 1,835.78/x
  3. Step 3: Cross multiply
    5,783.90x = 8,678.54 × 1,835.78
  4. Step 4: Simplify right side
    5,783.90x = 15,931,890.16
  5. Step 5: Solve for x
    x = 15,931,890.16/5,783.90
  6. Step 6: Final answer
    x = 2,754.52

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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.