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Finding the Fourth Proportional to 5,875.61, 8,807.74 and 1,977.89

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Solution

The fourth proportional to 5,875.61, 8,807.74 and 1,977.89 is: 2,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.61 : 8,807.74 = 1,977.89 : x
  2. Step 2: Convert to fraction form
    5,875.61/8,807.74 = 1,977.89/x
  3. Step 3: Cross multiply
    5,875.61x = 8,807.74 × 1,977.89
  4. Step 4: Simplify right side
    5,875.61x = 17,420,740.87
  5. Step 5: Solve for x
    x = 17,420,740.87/5,875.61
  6. Step 6: Final answer
    x = 2,964.92

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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.