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Finding the Fourth Proportional to 2,130.57, 2,937 and 1,681.68

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Solution

The fourth proportional to 2,130.57, 2,937 and 1,681.68 is: 2,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.57 : 2,937 = 1,681.68 : x
  2. Step 2: Convert to fraction form
    2,130.57/2,937 = 1,681.68/x
  3. Step 3: Cross multiply
    2,130.57x = 2,937 × 1,681.68
  4. Step 4: Simplify right side
    2,130.57x = 4,939,094.16
  5. Step 5: Solve for x
    x = 4,939,094.16/2,130.57
  6. Step 6: Final answer
    x = 2,318.20

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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.