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Finding the Fourth Proportional to 10,316, 15,476.56 and 3,020

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Solution

The fourth proportional to 10,316, 15,476.56 and 3,020 is: 4,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316 : 15,476.56 = 3,020 : x
  2. Step 2: Convert to fraction form
    10,316/15,476.56 = 3,020/x
  3. Step 3: Cross multiply
    10,316x = 15,476.56 × 3,020
  4. Step 4: Simplify right side
    10,316x = 46,739,211.20
  5. Step 5: Solve for x
    x = 46,739,211.20/10,316
  6. Step 6: Final answer
    x = 4,530.75

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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.