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Finding the Fourth Proportional to 5,681.60, 7,824.48 and 4,107.20

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Solution

The fourth proportional to 5,681.60, 7,824.48 and 4,107.20 is: 5,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.60 : 7,824.48 = 4,107.20 : x
  2. Step 2: Convert to fraction form
    5,681.60/7,824.48 = 4,107.20/x
  3. Step 3: Cross multiply
    5,681.60x = 7,824.48 × 4,107.20
  4. Step 4: Simplify right side
    5,681.60x = 32,136,704.26
  5. Step 5: Solve for x
    x = 32,136,704.26/5,681.60
  6. Step 6: Final answer
    x = 5,656.28

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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.