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Finding the Fourth Proportional to 1,807.95, 2,708.93 and 1,656.63

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Solution

The fourth proportional to 1,807.95, 2,708.93 and 1,656.63 is: 2,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.95 : 2,708.93 = 1,656.63 : x
  2. Step 2: Convert to fraction form
    1,807.95/2,708.93 = 1,656.63/x
  3. Step 3: Cross multiply
    1,807.95x = 2,708.93 × 1,656.63
  4. Step 4: Simplify right side
    1,807.95x = 4,487,688.90
  5. Step 5: Solve for x
    x = 4,487,688.90/1,807.95
  6. Step 6: Final answer
    x = 2,482.20

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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.