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Finding the Fourth Proportional to 5,298.88, 7,312.64 and 2,941.12

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Solution

The fourth proportional to 5,298.88, 7,312.64 and 2,941.12 is: 4,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.88 : 7,312.64 = 2,941.12 : x
  2. Step 2: Convert to fraction form
    5,298.88/7,312.64 = 2,941.12/x
  3. Step 3: Cross multiply
    5,298.88x = 7,312.64 × 2,941.12
  4. Step 4: Simplify right side
    5,298.88x = 21,507,351.76
  5. Step 5: Solve for x
    x = 21,507,351.76/5,298.88
  6. Step 6: Final answer
    x = 4,058.85

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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.