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Finding the Fourth Proportional to 5,659, 7,810.32 and 4,461.28

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Solution

The fourth proportional to 5,659, 7,810.32 and 4,461.28 is: 6,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659 : 7,810.32 = 4,461.28 : x
  2. Step 2: Convert to fraction form
    5,659/7,810.32 = 4,461.28/x
  3. Step 3: Cross multiply
    5,659x = 7,810.32 × 4,461.28
  4. Step 4: Simplify right side
    5,659x = 34,844,024.41
  5. Step 5: Solve for x
    x = 34,844,024.41/5,659
  6. Step 6: Final answer
    x = 6,157.28

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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.