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Finding the Fourth Proportional to 1,130, 1,560.04 and 853.52

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Solution

The fourth proportional to 1,130, 1,560.04 and 853.52 is: 1,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130 : 1,560.04 = 853.52 : x
  2. Step 2: Convert to fraction form
    1,130/1,560.04 = 853.52/x
  3. Step 3: Cross multiply
    1,130x = 1,560.04 × 853.52
  4. Step 4: Simplify right side
    1,130x = 1,331,525.34
  5. Step 5: Solve for x
    x = 1,331,525.34/1,130
  6. Step 6: Final answer
    x = 1,178.34

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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.