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Finding the Fourth Proportional to 1,312.35, 1,810.81 and 840.32

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Solution

The fourth proportional to 1,312.35, 1,810.81 and 840.32 is: 1,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.35 : 1,810.81 = 840.32 : x
  2. Step 2: Convert to fraction form
    1,312.35/1,810.81 = 840.32/x
  3. Step 3: Cross multiply
    1,312.35x = 1,810.81 × 840.32
  4. Step 4: Simplify right side
    1,312.35x = 1,521,664.11
  5. Step 5: Solve for x
    x = 1,521,664.11/1,312.35
  6. Step 6: Final answer
    x = 1,159.49

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1.5x scale

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.