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Finding the Fourth Proportional to 1,428, 1,969.29 and 931.02

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Solution

The fourth proportional to 1,428, 1,969.29 and 931.02 is: 1,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428 : 1,969.29 = 931.02 : x
  2. Step 2: Convert to fraction form
    1,428/1,969.29 = 931.02/x
  3. Step 3: Cross multiply
    1,428x = 1,969.29 × 931.02
  4. Step 4: Simplify right side
    1,428x = 1,833,448.38
  5. Step 5: Solve for x
    x = 1,833,448.38/1,428
  6. Step 6: Final answer
    x = 1,283.93

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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.