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Finding the Fourth Proportional to 1,312.07, 1,810.62 and 846.32

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Solution

The fourth proportional to 1,312.07, 1,810.62 and 846.32 is: 1,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.07 : 1,810.62 = 846.32 : x
  2. Step 2: Convert to fraction form
    1,312.07/1,810.62 = 846.32/x
  3. Step 3: Cross multiply
    1,312.07x = 1,810.62 × 846.32
  4. Step 4: Simplify right side
    1,312.07x = 1,532,354.87
  5. Step 5: Solve for x
    x = 1,532,354.87/1,312.07
  6. Step 6: Final answer
    x = 1,167.90

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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.