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Finding the Fourth Proportional to 1,931.84, 2,663.93 and 1,652.99

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Solution

The fourth proportional to 1,931.84, 2,663.93 and 1,652.99 is: 2,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.84 : 2,663.93 = 1,652.99 : x
  2. Step 2: Convert to fraction form
    1,931.84/2,663.93 = 1,652.99/x
  3. Step 3: Cross multiply
    1,931.84x = 2,663.93 × 1,652.99
  4. Step 4: Simplify right side
    1,931.84x = 4,403,428.07
  5. Step 5: Solve for x
    x = 4,403,428.07/1,931.84
  6. Step 6: Final answer
    x = 2,279.40

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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.