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Finding the Fourth Proportional to 4,973.21, 7,459.64 and 1,275.47

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Solution

The fourth proportional to 4,973.21, 7,459.64 and 1,275.47 is: 1,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.21 : 7,459.64 = 1,275.47 : x
  2. Step 2: Convert to fraction form
    4,973.21/7,459.64 = 1,275.47/x
  3. Step 3: Cross multiply
    4,973.21x = 7,459.64 × 1,275.47
  4. Step 4: Simplify right side
    4,973.21x = 9,514,547.03
  5. Step 5: Solve for x
    x = 9,514,547.03/4,973.21
  6. Step 6: Final answer
    x = 1,913.16

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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.