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Finding the Fourth Proportional to 5,646.85, 7,807.51 and 4,946.21

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Solution

The fourth proportional to 5,646.85, 7,807.51 and 4,946.21 is: 6,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.85 : 7,807.51 = 4,946.21 : x
  2. Step 2: Convert to fraction form
    5,646.85/7,807.51 = 4,946.21/x
  3. Step 3: Cross multiply
    5,646.85x = 7,807.51 × 4,946.21
  4. Step 4: Simplify right side
    5,646.85x = 38,617,584.04
  5. Step 5: Solve for x
    x = 38,617,584.04/5,646.85
  6. Step 6: Final answer
    x = 6,838.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.