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Finding the Fourth Proportional to 10,302.16, 15,459 and 4,146.64

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Solution

The fourth proportional to 10,302.16, 15,459 and 4,146.64 is: 6,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.16 : 15,459 = 4,146.64 : x
  2. Step 2: Convert to fraction form
    10,302.16/15,459 = 4,146.64/x
  3. Step 3: Cross multiply
    10,302.16x = 15,459 × 4,146.64
  4. Step 4: Simplify right side
    10,302.16x = 64,102,907.76
  5. Step 5: Solve for x
    x = 64,102,907.76/10,302.16
  6. Step 6: Final answer
    x = 6,222.28

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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.