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Finding the Fourth Proportional to 1,547.76, 2,329.95 and 1,389

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Solution

The fourth proportional to 1,547.76, 2,329.95 and 1,389 is: 2,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.76 : 2,329.95 = 1,389 : x
  2. Step 2: Convert to fraction form
    1,547.76/2,329.95 = 1,389/x
  3. Step 3: Cross multiply
    1,547.76x = 2,329.95 × 1,389
  4. Step 4: Simplify right side
    1,547.76x = 3,236,300.55
  5. Step 5: Solve for x
    x = 3,236,300.55/1,547.76
  6. Step 6: Final answer
    x = 2,090.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.