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Finding the Fourth Proportional to 11,557, 15,938.40 and 7,302.88

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Solution

The fourth proportional to 11,557, 15,938.40 and 7,302.88 is: 10,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557 : 15,938.40 = 7,302.88 : x
  2. Step 2: Convert to fraction form
    11,557/15,938.40 = 7,302.88/x
  3. Step 3: Cross multiply
    11,557x = 15,938.40 × 7,302.88
  4. Step 4: Simplify right side
    11,557x = 116,396,222.59
  5. Step 5: Solve for x
    x = 116,396,222.59/11,557
  6. Step 6: Final answer
    x = 10,071.49

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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.