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Finding the Fourth Proportional to 15,720, 23,580.16 and 4,776

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Solution

The fourth proportional to 15,720, 23,580.16 and 4,776 is: 7,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720 : 23,580.16 = 4,776 : x
  2. Step 2: Convert to fraction form
    15,720/23,580.16 = 4,776/x
  3. Step 3: Cross multiply
    15,720x = 23,580.16 × 4,776
  4. Step 4: Simplify right side
    15,720x = 112,618,844.16
  5. Step 5: Solve for x
    x = 112,618,844.16/15,720
  6. Step 6: Final answer
    x = 7,164.05

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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.