Home / 4,871-7,302.85-1,582.13

Finding the Fourth Proportional to 4,871, 7,302.85 and 1,582.13

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Solution

The fourth proportional to 4,871, 7,302.85 and 1,582.13 is: 2,372.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871 : 7,302.85 = 1,582.13 : x
  2. Step 2: Convert to fraction form
    4,871/7,302.85 = 1,582.13/x
  3. Step 3: Cross multiply
    4,871x = 7,302.85 × 1,582.13
  4. Step 4: Simplify right side
    4,871x = 11,554,058.07
  5. Step 5: Solve for x
    x = 11,554,058.07/4,871
  6. Step 6: Final answer
    x = 2,372.01

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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.