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Finding the Fourth Proportional to 5,283, 7,925.04 and 1,820.25

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Solution

The fourth proportional to 5,283, 7,925.04 and 1,820.25 is: 2,730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283 : 7,925.04 = 1,820.25 : x
  2. Step 2: Convert to fraction form
    5,283/7,925.04 = 1,820.25/x
  3. Step 3: Cross multiply
    5,283x = 7,925.04 × 1,820.25
  4. Step 4: Simplify right side
    5,283x = 14,425,554.06
  5. Step 5: Solve for x
    x = 14,425,554.06/5,283
  6. Step 6: Final answer
    x = 2,730.56

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1.5x scale

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.