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Finding the Fourth Proportional to 1,881.60, 2,595.36 and 1,488

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Solution

The fourth proportional to 1,881.60, 2,595.36 and 1,488 is: 2,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.60 : 2,595.36 = 1,488 : x
  2. Step 2: Convert to fraction form
    1,881.60/2,595.36 = 1,488/x
  3. Step 3: Cross multiply
    1,881.60x = 2,595.36 × 1,488
  4. Step 4: Simplify right side
    1,881.60x = 3,861,895.68
  5. Step 5: Solve for x
    x = 3,861,895.68/1,881.60
  6. Step 6: Final answer
    x = 2,052.45

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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.