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Finding the Fourth Proportional to 1,512.96, 2,088.23 and 988.69

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Solution

The fourth proportional to 1,512.96, 2,088.23 and 988.69 is: 1,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.96 : 2,088.23 = 988.69 : x
  2. Step 2: Convert to fraction form
    1,512.96/2,088.23 = 988.69/x
  3. Step 3: Cross multiply
    1,512.96x = 2,088.23 × 988.69
  4. Step 4: Simplify right side
    1,512.96x = 2,064,612.12
  5. Step 5: Solve for x
    x = 2,064,612.12/1,512.96
  6. Step 6: Final answer
    x = 1,364.62

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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.