Home / 1,588.40-2,192.16-916.32

Finding the Fourth Proportional to 1,588.40, 2,192.16 and 916.32

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Solution

The fourth proportional to 1,588.40, 2,192.16 and 916.32 is: 1,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.40 : 2,192.16 = 916.32 : x
  2. Step 2: Convert to fraction form
    1,588.40/2,192.16 = 916.32/x
  3. Step 3: Cross multiply
    1,588.40x = 2,192.16 × 916.32
  4. Step 4: Simplify right side
    1,588.40x = 2,008,720.05
  5. Step 5: Solve for x
    x = 2,008,720.05/1,588.40
  6. Step 6: Final answer
    x = 1,264.62

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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.