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Finding the Fourth Proportional to 4,875.78, 7,313.76 and 1,413

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Solution

The fourth proportional to 4,875.78, 7,313.76 and 1,413 is: 2,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.78 : 7,313.76 = 1,413 : x
  2. Step 2: Convert to fraction form
    4,875.78/7,313.76 = 1,413/x
  3. Step 3: Cross multiply
    4,875.78x = 7,313.76 × 1,413
  4. Step 4: Simplify right side
    4,875.78x = 10,334,342.88
  5. Step 5: Solve for x
    x = 10,334,342.88/4,875.78
  6. Step 6: Final answer
    x = 2,119.53

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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.