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Finding the Fourth Proportional to 1,681.48, 2,509.53 and 1,637.80

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Solution

The fourth proportional to 1,681.48, 2,509.53 and 1,637.80 is: 2,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.48 : 2,509.53 = 1,637.80 : x
  2. Step 2: Convert to fraction form
    1,681.48/2,509.53 = 1,637.80/x
  3. Step 3: Cross multiply
    1,681.48x = 2,509.53 × 1,637.80
  4. Step 4: Simplify right side
    1,681.48x = 4,110,108.23
  5. Step 5: Solve for x
    x = 4,110,108.23/1,681.48
  6. Step 6: Final answer
    x = 2,444.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.