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Finding the Fourth Proportional to 1,315.81, 1,816.10 and 844.08

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Solution

The fourth proportional to 1,315.81, 1,816.10 and 844.08 is: 1,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.81 : 1,816.10 = 844.08 : x
  2. Step 2: Convert to fraction form
    1,315.81/1,816.10 = 844.08/x
  3. Step 3: Cross multiply
    1,315.81x = 1,816.10 × 844.08
  4. Step 4: Simplify right side
    1,315.81x = 1,532,931.26
  5. Step 5: Solve for x
    x = 1,532,931.26/1,315.81
  6. Step 6: Final answer
    x = 1,165.01

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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.