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Finding the Fourth Proportional to 5,297.90, 7,907.72 and 4,969.58

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Solution

The fourth proportional to 5,297.90, 7,907.72 and 4,969.58 is: 7,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.90 : 7,907.72 = 4,969.58 : x
  2. Step 2: Convert to fraction form
    5,297.90/7,907.72 = 4,969.58/x
  3. Step 3: Cross multiply
    5,297.90x = 7,907.72 × 4,969.58
  4. Step 4: Simplify right side
    5,297.90x = 39,298,047.16
  5. Step 5: Solve for x
    x = 39,298,047.16/5,297.90
  6. Step 6: Final answer
    x = 7,417.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.