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Finding the Fourth Proportional to 5,427.78, 7,483.77 and 4,587

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Solution

The fourth proportional to 5,427.78, 7,483.77 and 4,587 is: 6,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.78 : 7,483.77 = 4,587 : x
  2. Step 2: Convert to fraction form
    5,427.78/7,483.77 = 4,587/x
  3. Step 3: Cross multiply
    5,427.78x = 7,483.77 × 4,587
  4. Step 4: Simplify right side
    5,427.78x = 34,328,052.99
  5. Step 5: Solve for x
    x = 34,328,052.99/5,427.78
  6. Step 6: Final answer
    x = 6,324.51

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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.