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Finding the Fourth Proportional to 1,510.98, 2,082.08 and 1,090.59

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Solution

The fourth proportional to 1,510.98, 2,082.08 and 1,090.59 is: 1,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.98 : 2,082.08 = 1,090.59 : x
  2. Step 2: Convert to fraction form
    1,510.98/2,082.08 = 1,090.59/x
  3. Step 3: Cross multiply
    1,510.98x = 2,082.08 × 1,090.59
  4. Step 4: Simplify right side
    1,510.98x = 2,270,695.63
  5. Step 5: Solve for x
    x = 2,270,695.63/1,510.98
  6. Step 6: Final answer
    x = 1,502.80

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