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Finding the Fourth Proportional to 4,875, 7,312.56 and 1,797

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Solution

The fourth proportional to 4,875, 7,312.56 and 1,797 is: 2,695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875 : 7,312.56 = 1,797 : x
  2. Step 2: Convert to fraction form
    4,875/7,312.56 = 1,797/x
  3. Step 3: Cross multiply
    4,875x = 7,312.56 × 1,797
  4. Step 4: Simplify right side
    4,875x = 13,140,670.32
  5. Step 5: Solve for x
    x = 13,140,670.32/4,875
  6. Step 6: Final answer
    x = 2,695.52

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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.