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Finding the Fourth Proportional to 2,510.09, 3,463.23 and 1,501.38

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Solution

The fourth proportional to 2,510.09, 3,463.23 and 1,501.38 is: 2,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.09 : 3,463.23 = 1,501.38 : x
  2. Step 2: Convert to fraction form
    2,510.09/3,463.23 = 1,501.38/x
  3. Step 3: Cross multiply
    2,510.09x = 3,463.23 × 1,501.38
  4. Step 4: Simplify right side
    2,510.09x = 5,199,637.84
  5. Step 5: Solve for x
    x = 5,199,637.84/2,510.09
  6. Step 6: Final answer
    x = 2,071.50

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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.