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Finding the Fourth Proportional to 5,315.84, 7,973.14 and 1,420.55

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Solution

The fourth proportional to 5,315.84, 7,973.14 and 1,420.55 is: 2,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.84 : 7,973.14 = 1,420.55 : x
  2. Step 2: Convert to fraction form
    5,315.84/7,973.14 = 1,420.55/x
  3. Step 3: Cross multiply
    5,315.84x = 7,973.14 × 1,420.55
  4. Step 4: Simplify right side
    5,315.84x = 11,326,244.03
  5. Step 5: Solve for x
    x = 11,326,244.03/5,315.84
  6. Step 6: Final answer
    x = 2,130.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.