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Finding the Fourth Proportional to 9,888.16, 13,654.74 and 6,357.52

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Solution

The fourth proportional to 9,888.16, 13,654.74 and 6,357.52 is: 8,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.16 : 13,654.74 = 6,357.52 : x
  2. Step 2: Convert to fraction form
    9,888.16/13,654.74 = 6,357.52/x
  3. Step 3: Cross multiply
    9,888.16x = 13,654.74 × 6,357.52
  4. Step 4: Simplify right side
    9,888.16x = 86,810,282.64
  5. Step 5: Solve for x
    x = 86,810,282.64/9,888.16
  6. Step 6: Final answer
    x = 8,779.22

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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.