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Finding the Fourth Proportional to 4,971.16, 7,457.46 and 1,509.40

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Solution

The fourth proportional to 4,971.16, 7,457.46 and 1,509.40 is: 2,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.16 : 7,457.46 = 1,509.40 : x
  2. Step 2: Convert to fraction form
    4,971.16/7,457.46 = 1,509.40/x
  3. Step 3: Cross multiply
    4,971.16x = 7,457.46 × 1,509.40
  4. Step 4: Simplify right side
    4,971.16x = 11,256,290.12
  5. Step 5: Solve for x
    x = 11,256,290.12/4,971.16
  6. Step 6: Final answer
    x = 2,264.32

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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.