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Finding the Fourth Proportional to 9,888.72, 14,813.47 and 5,201.66

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Solution

The fourth proportional to 9,888.72, 14,813.47 and 5,201.66 is: 7,792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.72 : 14,813.47 = 5,201.66 : x
  2. Step 2: Convert to fraction form
    9,888.72/14,813.47 = 5,201.66/x
  3. Step 3: Cross multiply
    9,888.72x = 14,813.47 × 5,201.66
  4. Step 4: Simplify right side
    9,888.72x = 77,054,534.28
  5. Step 5: Solve for x
    x = 77,054,534.28/9,888.72
  6. Step 6: Final answer
    x = 7,792.16

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1.5x scale

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.