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Finding the Fourth Proportional to 1,312.02, 1,810.50 and 857.02

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Solution

The fourth proportional to 1,312.02, 1,810.50 and 857.02 is: 1,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.02 : 1,810.50 = 857.02 : x
  2. Step 2: Convert to fraction form
    1,312.02/1,810.50 = 857.02/x
  3. Step 3: Cross multiply
    1,312.02x = 1,810.50 × 857.02
  4. Step 4: Simplify right side
    1,312.02x = 1,551,634.71
  5. Step 5: Solve for x
    x = 1,551,634.71/1,312.02
  6. Step 6: Final answer
    x = 1,182.63

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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.