Home / 5,280-7,918.74-1,770.13

Finding the Fourth Proportional to 5,280, 7,918.74 and 1,770.13

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Solution

The fourth proportional to 5,280, 7,918.74 and 1,770.13 is: 2,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280 : 7,918.74 = 1,770.13 : x
  2. Step 2: Convert to fraction form
    5,280/7,918.74 = 1,770.13/x
  3. Step 3: Cross multiply
    5,280x = 7,918.74 × 1,770.13
  4. Step 4: Simplify right side
    5,280x = 14,017,199.24
  5. Step 5: Solve for x
    x = 14,017,199.24/5,280
  6. Step 6: Final answer
    x = 2,654.77

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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.