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Finding the Fourth Proportional to 4,875.72, 7,312.86 and 1,797

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Solution

The fourth proportional to 4,875.72, 7,312.86 and 1,797 is: 2,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.72 : 7,312.86 = 1,797 : x
  2. Step 2: Convert to fraction form
    4,875.72/7,312.86 = 1,797/x
  3. Step 3: Cross multiply
    4,875.72x = 7,312.86 × 1,797
  4. Step 4: Simplify right side
    4,875.72x = 13,141,209.42
  5. Step 5: Solve for x
    x = 13,141,209.42/4,875.72
  6. Step 6: Final answer
    x = 2,695.23

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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.