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Finding the Fourth Proportional to 1,586.02, 2,188.73 and 988.76

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Solution

The fourth proportional to 1,586.02, 2,188.73 and 988.76 is: 1,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.02 : 2,188.73 = 988.76 : x
  2. Step 2: Convert to fraction form
    1,586.02/2,188.73 = 988.76/x
  3. Step 3: Cross multiply
    1,586.02x = 2,188.73 × 988.76
  4. Step 4: Simplify right side
    1,586.02x = 2,164,120.20
  5. Step 5: Solve for x
    x = 2,164,120.20/1,586.02
  6. Step 6: Final answer
    x = 1,364.50

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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.