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Finding the Fourth Proportional to 1,293.12, 1,937.52 and 561.60

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Solution

The fourth proportional to 1,293.12, 1,937.52 and 561.60 is: 841.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.12 : 1,937.52 = 561.60 : x
  2. Step 2: Convert to fraction form
    1,293.12/1,937.52 = 561.60/x
  3. Step 3: Cross multiply
    1,293.12x = 1,937.52 × 561.60
  4. Step 4: Simplify right side
    1,293.12x = 1,088,111.23
  5. Step 5: Solve for x
    x = 1,088,111.23/1,293.12
  6. Step 6: Final answer
    x = 841.46

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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.