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Finding the Fourth Proportional to 1,312, 1,810.51 and 814.75

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Solution

The fourth proportional to 1,312, 1,810.51 and 814.75 is: 1,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312 : 1,810.51 = 814.75 : x
  2. Step 2: Convert to fraction form
    1,312/1,810.51 = 814.75/x
  3. Step 3: Cross multiply
    1,312x = 1,810.51 × 814.75
  4. Step 4: Simplify right side
    1,312x = 1,475,113.02
  5. Step 5: Solve for x
    x = 1,475,113.02/1,312
  6. Step 6: Final answer
    x = 1,124.32

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Double scale
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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.