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Finding the Fourth Proportional to 9,775.12, 13,472.04 and 7,118.32

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Solution

The fourth proportional to 9,775.12, 13,472.04 and 7,118.32 is: 9,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.12 : 13,472.04 = 7,118.32 : x
  2. Step 2: Convert to fraction form
    9,775.12/13,472.04 = 7,118.32/x
  3. Step 3: Cross multiply
    9,775.12x = 13,472.04 × 7,118.32
  4. Step 4: Simplify right side
    9,775.12x = 95,898,291.77
  5. Step 5: Solve for x
    x = 95,898,291.77/9,775.12
  6. Step 6: Final answer
    x = 9,810.45

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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.