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Finding the Fourth Proportional to 1,685.81, 2,325.51 and 1,602.89

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Solution

The fourth proportional to 1,685.81, 2,325.51 and 1,602.89 is: 2,211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.81 : 2,325.51 = 1,602.89 : x
  2. Step 2: Convert to fraction form
    1,685.81/2,325.51 = 1,602.89/x
  3. Step 3: Cross multiply
    1,685.81x = 2,325.51 × 1,602.89
  4. Step 4: Simplify right side
    1,685.81x = 3,727,533.82
  5. Step 5: Solve for x
    x = 3,727,533.82/1,685.81
  6. Step 6: Final answer
    x = 2,211.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.