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Finding the Fourth Proportional to 7,312.66, 10,973.88 and 3,417.40

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Solution

The fourth proportional to 7,312.66, 10,973.88 and 3,417.40 is: 5,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.66 : 10,973.88 = 3,417.40 : x
  2. Step 2: Convert to fraction form
    7,312.66/10,973.88 = 3,417.40/x
  3. Step 3: Cross multiply
    7,312.66x = 10,973.88 × 3,417.40
  4. Step 4: Simplify right side
    7,312.66x = 37,502,137.51
  5. Step 5: Solve for x
    x = 37,502,137.51/7,312.66
  6. Step 6: Final answer
    x = 5,128.39

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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.