Home / 1,566.90-2,345.74-1,157.86

Finding the Fourth Proportional to 1,566.90, 2,345.74 and 1,157.86

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Solution

The fourth proportional to 1,566.90, 2,345.74 and 1,157.86 is: 1,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.90 : 2,345.74 = 1,157.86 : x
  2. Step 2: Convert to fraction form
    1,566.90/2,345.74 = 1,157.86/x
  3. Step 3: Cross multiply
    1,566.90x = 2,345.74 × 1,157.86
  4. Step 4: Simplify right side
    1,566.90x = 2,716,038.55
  5. Step 5: Solve for x
    x = 2,716,038.55/1,566.90
  6. Step 6: Final answer
    x = 1,733.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.