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Finding the Fourth Proportional to 5,318.04, 7,978.02 and 1,807.68

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Solution

The fourth proportional to 5,318.04, 7,978.02 and 1,807.68 is: 2,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.04 : 7,978.02 = 1,807.68 : x
  2. Step 2: Convert to fraction form
    5,318.04/7,978.02 = 1,807.68/x
  3. Step 3: Cross multiply
    5,318.04x = 7,978.02 × 1,807.68
  4. Step 4: Simplify right side
    5,318.04x = 14,421,707.19
  5. Step 5: Solve for x
    x = 14,421,707.19/5,318.04
  6. Step 6: Final answer
    x = 2,711.85

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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.