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Finding the Fourth Proportional to 5,639.48, 7,781.64 and 5,012.72

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Solution

The fourth proportional to 5,639.48, 7,781.64 and 5,012.72 is: 6,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.48 : 7,781.64 = 5,012.72 : x
  2. Step 2: Convert to fraction form
    5,639.48/7,781.64 = 5,012.72/x
  3. Step 3: Cross multiply
    5,639.48x = 7,781.64 × 5,012.72
  4. Step 4: Simplify right side
    5,639.48x = 39,007,182.46
  5. Step 5: Solve for x
    x = 39,007,182.46/5,639.48
  6. Step 6: Final answer
    x = 6,916.80

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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.